Question

use Euclid's devision algorithm to find tha HCF of: (a) 135 and 225 (b) 196 and 38220 (c) 867 and 255
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Answer 1

Answer:

Given numbers: 135 and 225

Here, 225>135.

So, we will divide greater number by smaller number.

Divide 225 by 135.

The quotient is 1 and remainder is 90.

225=135×1+90

Divide 135 by 90

The quotient is 1 and remainder is 45.

135=90×1+45

Divide 90 by 45.

The quotient is 2 and remainder is 0.

90=2×45+0

Thus, the HCF is 45.

Answer 2

Step-by-step explanation:

HCF of 135 is 5*5*5 and HCF of 225 is 3*3*5*5 and HCF of 196 is 2*2*7*7