Question

Find the HCF of the following by prime factorisation
method:
(i) 38,361
​

Answer 1

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

361 ÷ 38 = 9 + 19;

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

38 ÷ 19 = 2 + 0;

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

19 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 (38; 361) = 19

gcf, hcf, gcd (38; 361) = 19.

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Answer 2

Step-by-step explanation:

36= 2×2×3×3

361= 19×19×1