Question

Using repeated substracting method find HCF of the following: 36 and 80

• A. 4
• B. 6
• C. 8
• D. 2

Answer 1

The correct option is A 4

Explanation- m = 80, n = 36
80 – 36 = 44, now n = 44, m = 36
Since n > m, we should n-m
44 – 36 = 8, now n = 8, m = 36
36 – 8 = 28
Similarly , processing, proceeding, we do repeated subtraction till m = n
28 – 8 = 20
20 – 8 = 12
12 – 8 = 4
8 – 4 = 4
now m = n = 4
$\therefore \text{HCF is}4$