# Formulas For HCF

## Formulas for HCF

HCF stands for Highest Common Factor.It is highest positiveble integer that divides two or more integers.That’s why it is also known as Greates Common Divisor (GCD). Here below you will get the formulas of HCF that will help you in preparation of HCF questions.

## Formulas for HCF

### Definition

• HCF – The H.C.F of two or more than two numbers is the greatest numbers which divides each of them without any remainder. It also called Greatest Common Divisor (G.C.D.) or Greatest Common Measure (G.C.M.)

### Formula

• Product of two numbers = Product of their H.C.F. and L.C.M
• Co-primes: Two numbers are said to be co-primes if their H.C.F. is 1
• HCM and LCM of fraction

a. HCF = $\frac{HCF of Numerator}{LCM of Denominators}$

b. LCM = $\frac{LCM of Numerator}{HCF of Denominators}$

Read Also : Tips and Tricks to solve HCF questions.