Question

Find the HCF by continued
division method
a) 287 ,533​

Answer 1

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

533 = 13 × 41;

533 is not a prime, is a composite number;

287 = 7 × 41;

287 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 (533; 287) = 41

Answer 2

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