Question

Find the gratest number that can divide 510 & 425 exactly

Answer 1

hello friend here's your answer..

Approach 1. Integer numbers prime factorization:

510 = 2 × 3 × 5 × 17;

425 = 52 × 17;

Take all the common prime factors, by the lowest exponents.

Greatest (highest) common factor (divisor):

gcf, gcd (510; 425) = 5 × 17 = 85;

Approach 2. Euclid's algorithm:

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

510 ÷ 425 = 1 + 85;

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

425 ÷ 85 = 5 + 0;

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

85 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, gcd (510; 425) = 85 = 5 × 17;..

hope you find it useful so please mark me as brainliest..

Answer 2

510/85=6

425/85=5


85 is your ans