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  • Find the HCF of 24, 30 and 42.Option: 1 6Option: 2 12

Find the HCF of 24, 30 and 42.

Option: 1

6


Option: 2

12


Option: 3

15


Option: 4

20


Answers (1)

best_answer

$\therefore \quad$ Factors of $24=2 \times 2 \times 2 \times 3=\left(2^3 \times 3^1\right)$

                             Factors of $30=2 \times 3 \times 5=\left(2^1 \times 3^1 \times 5^1\right)$

                             Factors of $42=2 \times 3 \times 7=\left(2^1 \times 3^1 \times 7^1\right)$

$\therefore \quad$ The product of common prime factors with the least powers $=2^1 \times 3^1=6$

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chirag

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