If P = 28 × 35, Q = 25 × 34

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

If P = 2⁸ × 3⁵, Q = 2⁵ × 3⁴ and R = 3⁵ × 2⁷, then what is the highest common factor of P, Q and R ?

Options:

2⁵ × 3⁴

2⁸ × 3⁵

2² × 3²

2⁴ × 3⁵

Correct Answer:

2⁵ × 3⁴

Explanation:

P = 2⁸ × 3⁵

Q = 2⁵ × 3⁴

R = 3⁵ × 2⁷

Because there is 2⁵ × 3⁴ common in these numbers

So, the HCF of the given terms = 2⁵ × 3⁴