HCF of 36 and 144 is ?

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144

answer is A.

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Detailed Solution

Concept: Two numbers are available: 36 and 144. We must determine these figures' HCF. Therefore, we can determine the HCF of the two numbers supplied by using the division method. Divide the largest number by the lowest number among the given numbers using this formula until there is no leftover. The HCF of the provided numbers will be the final divisor.
First, determine the components for each number. then identify the factors that are shared by all the numbers. Of all the numbers, that has the greatest common factor (HCF) .
The following figures are ours: 36 and 144
Now, using the prime factorization method, we can determine the numbers' prime factors:
36=2×2×3×3
144=2×2×2×2×3×3
So, we must identify the elements that are shared by 36 and 144.
We get: As a common factor between 36 and 144, 2×2×3×3=36.
As a result, the HCF of 36 and 144 is 36.
Hence, option (1) is the correct answer.

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