HCF of Two Numbers given LCM and Product Calculator

✖Product of Two Numbers is the result of the multiplication of two numbers.ⓘ Product of Two Numbers [P_(X×Y)]			+10% -10%
✖Least Common Multiple of Two Numbers is the least positive integer other than zero that is divisible by both numbers.ⓘ Least Common Multiple of Two Numbers [LCM_{(X, Y)}]			+10% -10%

✖Highest Common Factor of Two Numbers is the common highest positive integer which divides both numbers.ⓘ HCF of Two Numbers given LCM and Product [HCF_{(X, Y)}]

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Formula

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HCF of Two Numbers given LCM and Product

Formula

`"HCF"_{"(X, Y)"} = "P"_{"(X×Y)"}/"LCM"_{"(X, Y)"}`

Example

`"5"="45"/"9"`

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HCF of Two Numbers given LCM and Product Solution

STEP 0: Pre-Calculation Summary

Formula Used

Highest Common Factor of Two Numbers = Product of Two Numbers/Least Common Multiple of Two Numbers
HCF_{(X, Y)} = P_(X×Y)/LCM_{(X, Y)}
This formula uses 3 Variables

Variables Used

Highest Common Factor of Two Numbers - Highest Common Factor of Two Numbers is the common highest positive integer which divides both numbers.
Product of Two Numbers - Product of Two Numbers is the result of the multiplication of two numbers.
Least Common Multiple of Two Numbers - Least Common Multiple of Two Numbers is the least positive integer other than zero that is divisible by both numbers.

STEP 1: Convert Input(s) to Base Unit

Product of Two Numbers: 45 --> No Conversion Required
Least Common Multiple of Two Numbers: 9 --> No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

HCF_{(X, Y)} = P_(X×Y)/LCM_{(X, Y)} --> 45/9

Evaluating ... ...

HCF_{(X, Y)} = 5

STEP 3: Convert Result to Output's Unit

5 --> No Conversion Required

FINAL ANSWER

5 <-- Highest Common Factor of Two Numbers

(Calculation completed in 00.004 seconds)

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Created by Sakshi Priya

Indian Institute of Technology (IIT), Roorkee

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< 2 HCF and LCM Calculators

LCM of Two Numbers given HCF and Product

Go Least Common Multiple of Two Numbers = Product of Two Numbers/Highest Common Factor of Two Numbers

HCF of Two Numbers given LCM and Product

Go Highest Common Factor of Two Numbers = Product of Two Numbers/Least Common Multiple of Two Numbers

HCF of Two Numbers given LCM and Product Formula

Highest Common Factor of Two Numbers = Product of Two Numbers/Least Common Multiple of Two Numbers
HCF_{(X, Y)} = P_(X×Y)/LCM_{(X, Y)}

What are the properties of Highest Common Factor of Two Numbers?

1. The HCF of any set of integers is a divisor of each of those integers.
2. The HCF of two integers is the largest positive integer that divides both of those integers without a remainder. This can be found using the Euclidean algorithm.
3. The HCF of a set of integers is the product of their prime factorization, with each prime raised to the lowest power present in any of the integers.
4. HCF is distributive over addition and subtraction: HCF(a+b,c) = HCF(a,c) = HCF(b,c) = HCF(a,b,c) and HCF(a,b) = HCF(a,c) = HCF(b,c) = HCF(a,b,c)
5. If the HCF of two numbers is 1 then they are relatively prime to each other, or in another way they are co-primes.

Does HCF follow associative and distributive properties?

The HCF of a set of integers is commutative and associative, meaning that the order in which the integers are listed does not affect the result and that grouping the integers in different ways will give the same result.

How to Calculate HCF of Two Numbers given LCM and Product?

HCF of Two Numbers given LCM and Product calculator uses Highest Common Factor of Two Numbers = Product of Two Numbers/Least Common Multiple of Two Numbers to calculate the Highest Common Factor of Two Numbers, HCF of Two Numbers given LCM and Product formula is defined as the common highest positive integer which divides both the numbers, and calculated using the least common multiple and product of those two numbers. Highest Common Factor of Two Numbers is denoted by HCF_{(X, Y)} symbol.

How to calculate HCF of Two Numbers given LCM and Product using this online calculator? To use this online calculator for HCF of Two Numbers given LCM and Product, enter Product of Two Numbers (P_(X×Y)) & Least Common Multiple of Two Numbers (LCM_{(X, Y)}) and hit the calculate button. Here is how the HCF of Two Numbers given LCM and Product calculation can be explained with given input values -> 5 = 45/9.

FAQ

What is HCF of Two Numbers given LCM and Product?

HCF of Two Numbers given LCM and Product formula is defined as the common highest positive integer which divides both the numbers, and calculated using the least common multiple and product of those two numbers and is represented as HCF_{(X, Y)} = P_(X×Y)/LCM_{(X, Y)} or Highest Common Factor of Two Numbers = Product of Two Numbers/Least Common Multiple of Two Numbers. Product of Two Numbers is the result of the multiplication of two numbers & Least Common Multiple of Two Numbers is the least positive integer other than zero that is divisible by both numbers.

How to calculate HCF of Two Numbers given LCM and Product?

HCF of Two Numbers given LCM and Product formula is defined as the common highest positive integer which divides both the numbers, and calculated using the least common multiple and product of those two numbers is calculated using Highest Common Factor of Two Numbers = Product of Two Numbers/Least Common Multiple of Two Numbers. To calculate HCF of Two Numbers given LCM and Product, you need Product of Two Numbers (P_(X×Y)) & Least Common Multiple of Two Numbers (LCM_{(X, Y)}). With our tool, you need to enter the respective value for Product of Two Numbers & Least Common Multiple of Two Numbers and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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