## HCF of two numbers given LCM and product of two numbers Solution

STEP 0: Pre-Calculation Summary
Formula Used
Highest Common Multiple = Product of two numbers/Lowest Common Multiple
HCF = P/LCM
This formula uses 3 Variables
Variables Used
Highest Common Multiple - Highest Common Multiple is a common factor that is shared by two or more numbers.
Product of two numbers - The Product of two numbers is the result of the multiplication of two numbers.
Lowest Common Multiple - The Lowest Common Multiple is the least positive integer other than zero that is divisible by both a and b.
STEP 1: Convert Input(s) to Base Unit
Product of two numbers: 50 --> No Conversion Required
Lowest Common Multiple: 10 --> No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
HCF = P/LCM --> 50/10
Evaluating ... ...
HCF = 5
STEP 3: Convert Result to Output's Unit
5 --> No Conversion Required
5 <-- Highest Common Multiple
(Calculation completed in 00.002 seconds)
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Indian Institute of Technology (IIT), Roorkee
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## < 2 HCF and LCM Calculators

LCM of two numbers given HCF and product of two numbers
Lowest Common Multiple = Product of two numbers/Highest Common Multiple Go
HCF of two numbers given LCM and product of two numbers
Highest Common Multiple = Product of two numbers/Lowest Common Multiple Go

## HCF of two numbers given LCM and product of two numbers Formula

Highest Common Multiple = Product of two numbers/Lowest Common Multiple
HCF = P/LCM

## Does HCF follows associative and distributive properties?

Yes HCF follows both the properties.

## Give one application of Highest Common Multiple.

The HCF is used for reducing the fractions to the lowest terms.

## How to Calculate HCF of two numbers given LCM and product of two numbers?

HCF of two numbers given LCM and product of two numbers calculator uses Highest Common Multiple = Product of two numbers/Lowest Common Multiple to calculate the Highest Common Multiple, HCF of two numbers given LCM and product of two numbers is a special relation which gives the largest positive integer that divides each number. If the Highest Common Divisor of two numbers is 1 then the numbers are called coprime. Highest Common Multiple is denoted by HCF symbol.

How to calculate HCF of two numbers given LCM and product of two numbers using this online calculator? To use this online calculator for HCF of two numbers given LCM and product of two numbers, enter Product of two numbers (P) & Lowest Common Multiple (LCM) and hit the calculate button. Here is how the HCF of two numbers given LCM and product of two numbers calculation can be explained with given input values -> 5 = 50/10.

### FAQ

What is HCF of two numbers given LCM and product of two numbers?
HCF of two numbers given LCM and product of two numbers is a special relation which gives the largest positive integer that divides each number. If the Highest Common Divisor of two numbers is 1 then the numbers are called coprime and is represented as HCF = P/LCM or Highest Common Multiple = Product of two numbers/Lowest Common Multiple. The Product of two numbers is the result of the multiplication of two numbers & The Lowest Common Multiple is the least positive integer other than zero that is divisible by both a and b.
How to calculate HCF of two numbers given LCM and product of two numbers?
HCF of two numbers given LCM and product of two numbers is a special relation which gives the largest positive integer that divides each number. If the Highest Common Divisor of two numbers is 1 then the numbers are called coprime is calculated using Highest Common Multiple = Product of two numbers/Lowest Common Multiple. To calculate HCF of two numbers given LCM and product of two numbers, you need Product of two numbers (P) & Lowest Common Multiple (LCM). With our tool, you need to enter the respective value for Product of two numbers & Lowest Common Multiple 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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