Question 61

What will be the Highest Common Factor of $$2^3 \times 3^5 \times 5^5$$ and $$3^1 \times 5^2 \times 7^1?$$

Solution

Highest Common Factor of $$2^3 \times 3^5 \times 5^5$$ and $$3^1 \times 5^2 \times 7^1$$ is :

Clearly, 2 and 7 are not common in both terms, hence it will not be a part of H.C.F., also highest common factor is the common number with the smaller power.

Hence, H.C.F. = $$3^1 \times 5^2$$

=> Ans - (D)


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