# What is the HCF of 70 105 and 175?

## Answer: HCF of 70, 105, and 175 is 35

## Explanation:

We can find the HCF by the following methods

- Prime factorization Method
- Listing the common factors method
- Long division Method

### HCF of 70, 105, and 175 by Listing the Common Factors

Common Factors of 70, 105, and 175: 1, 5, 7, and 35

The greatest common factor is 35

HCF of 70, 105, and 175 is 35

### HCF of 70, 105, and 175 by Long Division

- Step 1: Divide 175 by 70 and check the remainder.
- Step 2: Taking the remainder of the above step as the divisor and the divisor of the above step as the dividend, perform the long division again.
- Step 3: Continue until the remainder becomes 0.

- Step 4: Now divide 105 by the common factor of 70 and 175 which is 35.
- Step 5: Continue until the remainder becomes 0.