# CAT Practice : Number System - HCF, LCM

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Having been given sum of two numbers, what inferences can we draw about the HCF of the two numbers. Can we draw any inference at all?

## HCF basics

Q.6: Sum of two numbers x, y = 1050. What is the maximum value of the HCF between x and y?
1. 350
2. 700
3. 1050
4. 525

Choice D. 525

## Detailed Solution

x = 525 y = 525 works best.

If the question states x, y have to be distinct, then the best solution would be x = 350, y = 700, HCF = 350.

525. Choice (D)

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## More questions from Number Theory - HCF, LCM

Number Theory is one of the most heavily tested topics. Within this, one should get the basics on factors, multiples, HCF, LCM very clear before moving on to the tougher sets.