Three numbers are in the proportion of 3

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Target Exam

CUET

Subject

General Test

Chapter

Numerical Ability

Topic

HCF and LCM

Question:

Three numbers are in the proportion of 3 : 8 : 15 and their LCM is 8280. What is their HCF ?

Options:

Correct Answer:

Explanation:

The ratio of the three numbers is 3 : 8 : 15

Let the numbers be 3x, 8x, and 15x

Here x is their HCF

LCM of 3x, 8x, and 15x = 120x

According to the question,

120x = 8280

⇒ x = \(\frac{8280}{120}\)

⇒ x = 69

So, the HCF of the numbers is 69