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Q.

If the H.C.F. of  A and B is 24 and that of  C and D is 56, then the H.C.F. of A, B, C, and D is


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a

4

b

12

c

8

d

3  

answer is C.

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Detailed Solution

Given the H.C.F. of A and B is 24 and that of C and D is 56. We have to find the HCF of A, B, C and D.
Using prime factorisation, finding the factors of 24 and 56.
Question ImageSo, H.C.F of 24 and 56 is 8.
Therefore, the H.C.F. of A, B, C, and D is the HCF of 24 and 56 which is 8. Hence, option 3 is correct.
 
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