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Find the HCF of 0.24 and 0.36 .
Question

Find the HCF of 0.24 and 0.36 .

A.

0.72

B.

0.12

C.

0.32

D.

0.52

Correct option is B

Given:

The numbers are 0.24 and 0.36.

Solution:

0.24 = 24100\frac{24}{100}​​

0.36 = 36100 \frac{36}{100}​​

Now, find the HCF of 24 and 36:

Prime factorization of 24: 24 = 23×32^3 \times 3​​

Prime factorization of 36: 36 = 22×322^2 \times 3^2​​

The common factors are 22×3 2^2 \times 3​, so the HCF of 24 and 36 is 12.

Since we multiplied both the original numbers by 100,

the HCF of 0.24 and 0.36 is:

12100=0.12\frac{12}{100} = 0.12​​

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