Question

using euclid's division algorithm find the HCF of 867 and 225

Answer 1

867 = 225 x 3 + 192
225 = 192 x 1 + 33
192 = 33 x 5 +27
33 = 27 x 1 + 6
27 = 6 x 4 + 3
6 = 3 x 2 + 0

HCF = 3
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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.