SSC GD 11th Feb 2019 Shift-1

Question 58

What is the Highest Common Factor of $$2^3 \times 3^5  and  3^3 \times 5^2$$?

Solution

HCF of $$2^3 \times 3^5  and  3^3 \times 5^2$$ is the common number between the two terms with lowest power.
Here, 3 is common in both the terms. Lowest power of 3 is 3.
Hence, HCF of $$2^3 \times 3^5  and  3^3 \times 5^2$$ is $$3^3$$

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