Question

Using repeated subtracting method find HCF of 36 and 80(2 marks)

Answer 1

6 and 80
m = 80, n = 36
80 – 36 = 44,
now n = 44, m = 36
Since n > m,
we should do n - m( 1 mark)
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
∴ HCF is 4(1 mark)