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Q.

Using prime factorization, the HCF and LCM of 30, 72, 432 is:


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a

H.C.F = 6 and L.C.M = 2160

b

H.C.F = 5 and L.C.M = 2860

c

H.C.F = 2 and L.C.M = 2260

d

H.C.F = 4 and L.C.M = 2460 

answer is A.

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Detailed Solution

Given 3 numbers 30, 72 and 432.
The prime factors are,
30=2×3×5 72=2×2×2×3×3 432=2×2×2×2×3×3×3
As, the common factors are 2 and 3, H.C.F = 2×3=6 .
Now, the L.C.M of 30, 72, 432 is,
= 2 4 × 3 3 ×5 =2160
Therefore, H.C.F = 6 and L.C.M = 2160.
Hence, option 1 is correct.
 
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