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Q.

Using prime factorization, the HCF and LCM of: 24, 36, 40 is:


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a

H.C.F = 2 and L.C.M = 350

b

H.C.F = 4 and L.C.M = 360

c

H.C.F = 1 and L.C.M = 370

d

H.C.F = 3 and L.C.M = 330 

answer is B.

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Detailed Solution

Given 3 numbers 24, 36 and 40.
The prime factors are,
36=2×2×3×3 24=2×2×2×3 40=2×2×2×5
As, the common factors are 2 and 2, H.C.F = 2×2=4 .
Now, the L.C.M of 24, 36, 40 is,
= 2 3 × 3 2 ×5 =360
Therefore, H.C.F = 4 and L.C.M = 360.
Hence, option 2 is correct.
 
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Using prime factorization, the HCF and LCM of: 24, 36, 40 is: