# What is the HCF of 777, 315 and 588?

HCF (Highest Common Factor) of 777, 315 and 588 is the greatest possible number which divides 777, 315 and 588 exactly.

## Answer: HCF of 777, 315 and 588 is 21

Let's find the HCF of 777, 315 and 588

## Explanation:

The highest common factor (HCF) of two numbers a and b is the highest possible number that divides the numbers a and b exactly, leaving the remainder 0.

### HCF of 777, 315 and 588 by Listing the Common Factors

Factors of 777: 1, 3, 7, 21, 37, 111, 259, 777

Factors of 315: 1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Factors of 588: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Common Factors of 777, 315 and 588: 1 and 21

Since the greatest common factor is 21, the HCF of 777, 315 and 588 is 21

HCF of 777, 315 and 588 is 21

### HCF of 777, 315 and 588 by prime factorization

Let us represent 777, 315 and 588 as a product of prime numbers.

The product of common prime numbers is the HCF of 777, 315 and 588.