Question

use euclids division algorithm to find the hcf of 135 and 225 ​

Answer 1

Answer:

45

Step-by-step explanation:

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

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.

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