If the HCF of two numbers ( each greater

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

If the HCF of two numbers ( each greater than 17) be 17 and the LCM be 561, then find the sum of the numbers.

Options:

387

238

268

340

Correct Answer:

238

Explanation:

Let the first number = 17x

Let the second number = 17y

Then, ATQ,

LCM × HCF = Product of the two numbers

561 × 17 = 17x × 17y

xy = 33 = 11 × 3

Sum of the numbers = 17 × 11 + 17 × 3 = 238