QA – Placement Quizzes | HCF | Question 6

Find the highest common factor of the following numbers:
4 * 27 * 3125
8 * 9 * 25 * 7
16 * 81 * 5 * 11 * 49

(A) 180
(B) 360
(C) 540
(D) 1260


Answer: (A)

Explanation:
correct answer is (A)

first number 4 * 27 * 3125 = 2^2 * 3^3 * 5^4
second number 8 * 9 * 25 * 7 = 2^3 * 3^2 * 5^2 * 7^1
third number 16 * 81 * 5 * 11 * 49 = 2^4 * 3^4 * 5^1 * 11^1 * 7^2

For finding HCF we take common factor
2^2 * 3^2 * 5^1 = 4 * 9 * 5 = 180


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