Question

Find the hcf of 225 and 867 by euclids division algorithms

Answer 1

By Euclid division algorithm,
867=3(225)+192
225=1(192)+33
192= 5(33)+27
33=1(27)+6
27=4(6)+3
6=2(3)+0
Therefore, HCF of 225 and 867 is 3.

Answer 2

$\huge \underline \mathbb {SOLUTION:-}$

As we know, 867 is greater than 225. Let us apply now Euclid’s division algorithm on 867, to get,

867 = 225 × 3 + 192

225 = 192 × 1 + 33

192 = 33 × 5 + 27

33 = 27 × 1 + 6

27 = 6 × 4 + 3

6 = 3 × 2 + 0

• Hence, the HCF of 867 and 225 is 3.