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Question

The HCF of 135 and 225 is .

A
35
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B
45
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C
25
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Solution

The correct option is B 45

By Euclid’s division algorithm, we have

225=1×135+90,

135=1×90+45 and

90=2×45+0.

Hence,
HCF(225,135) = HCF(135,90) = HCF(90,45) = 45.

The HCF of 135 and 225 is 45.


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