Question

find the HCF of 34 and 289​

Answer 1

Answer:

HCF=17

Step-by-step explanation:

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

289 ÷ 34 = 8 + 17;

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

34 ÷ 17 = 2 + 0;

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

17 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 (289; 34) = 17

gcf, hcf, gcd (289; 34) = 17;

Euclid's algorithm

Final answer:

Greatest (highest) common factor (divisor)

gcf, hcf, gcd (289; 34) = 17;

The numbers have common prime factors.

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