Question

what is the HCF of 468 and 228 ?​

Answer 1

Answer:

gcf, hcf, gcd (228; 468) = ? Calculate the greatest (highest) common factor (divisor) GCF (HCF, GCD), using the online calculator

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd (228; 468) = ? Approach 1. Integer numbers prime factorization. Approach 2. Euclid's algorithm.

gcf, hcf, gcd (332; 468) = ? ... (5,972; 228) = ?

Approach 1. Integer numbers prime factorization:

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

228 = 22 × 3 × 19;

228 is not a prime, is a composite number;

468 = 22 × 32 × 13;

468 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 (228; 468) = 22 × 3

gcf, hcf, gcd (228; 468) = 22 × 3 = 12;

The numbers have common prime factors.

Step 1. Divide the larger number by the smaller one:

468 ÷ 228 = 2 + 12;

Step 2. Divide the smaller number by the above operation's remainder:

228 ÷ 12 = 19 + 0;

At this step, the remainder is zero, so we stop:

12 is the number we were looking for, the last remainder that is not zero.

This is the greatest common factor (divisor).

Greatest (highest) common factor (divisor):

gcf, hcf, gcd (228; 468) = 12

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