Question

What is the HCF of 77, 154, 231?

Answer 1

Approach 1. Integer numbers prime factorization:

Prime Factorization of a number: finding the prime numbers that multiply together to make that number.

154 = 2 × 7 × 11;

154 is not a prime, is a composite number;

231 = 3 × 7 × 11;

231 is not a prime, is a composite number;

* Positive integers that are only dividing by themselves and 1 are called prime numbers. A prime number has only two factors: 1 and itself.

* A composite number is a positive integer that has at least one factor (divisor) other than 1 and itself.

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd:

Multiply all the common prime factors, by the lowest exponents (if any).

gcf, hcf, gcd (154; 231) = 7 × 11

Answer 2

Answer:

77,154,231.

7|77 HCF(77)=7×11.

11|7

1

2|154 HCF(154)=2×7×11.

7|77

11|11

1

3|231 HCF(231)=3×7×11.

7|77

11|11

1

HCF(77,154,231)=7×11.

I think this is your answer.