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Q.

HCF of 168 and 126 is:



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a

21

b

42

c

14

d

18 

answer is B.

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Detailed Solution

Concept: 168 and 126 are the two numbers we have. HCF, as we are all aware, is the result of the provided numbers' lowest power of prime factors. Find the factors of all the integers first using the prime factorization method. The highest common factor, or HCF, is then obtained by multiplying the lowest powers of the common factors.
The following figures are available: 168 and 126.
Write the natural numbers that are provided now as the product of their prime factors. Multiply all the common prime factors with the lowest degree to get the maximum common factor (power) .
Now, using the prime factorization method, we can determine the numbers' prime factors:
168=2×2×2×3×7
126=2×3×3×7
Thus, 21, 31, and71 have the lowest degree of common prime factors.
Therefore,21× 31×71=42 is the result of the lowest degree of shared prime factors.
42 is therefore the HCF of 168 and 126.
Hence, the answer is option 2.
 
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