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Class 10MathematicsReal NumbersHCF and LCM using prime factorisationMediumLevel 5

If the product of two numbers is 3780 and their LCM is 315, what is their HCF?

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Answer and explanation

Correct answer: 12

For two positive integers, the relation is: product = HCF \(\times\) LCM. Therefore, HCF \(=3780\div315=12\). Hence, option B is correct. Exam tip: To find the HCF, divide the product by the LCM and verify that the quotient is a whole number.

Tags

real-numbersfundamental-theorem-of-arithmetichcf-lcmnumber-systemgrade-10

Frequently asked questions

What is the correct answer to this question?

12

Why is this the correct answer?

For two positive integers, the relation is: product = HCF \(\times\) LCM. Therefore, HCF \(=3780\div315=12\). Hence, option B is correct. Exam tip: To find the HCF, divide the product by the LCM and verify that the quotient is a whole number.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Real Numbers. Topic: HCF and LCM using prime factorisation.

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