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The Highest Common Factor (HCF) is defined as the Highest Common Factor found in two or more numbers. Similarly, the lowest number is a Least Common Multiple (LCM) of the given numbers.

Real-Life Applications of HCF

Real-life examples where the concept of HCF is involved are:

Application 1:

Consider a room with dimensions 48 x 56. What is the minimum number of identical square tiles we can tile the room?

Application 2:

Assume you have ropes of different lengths(e.g. 100m, 150m, 175m), and you need to cut them into small pieces of equal lengths.

Application 3:

What length would you choose to cut so that you have all the ropes of maximum lengths without leaving any spare?

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HCF and LCM Aptitude Resources

The resources mentioned below can help you with your HCF and LCM aptitude preparation.


1. Concepts

Learn important concepts related to HCF and LCM. Once you begin comprehending what has to be assessed, you develop a better understanding of the nature of the questions.

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2. Formulas

Learn important formulas linked to the HCF and LCM problems that can help you answer the questions quickly and develop a greater understanding of the concepts.

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3. Practice Problems

Practice sample problems related to the HCF and LCM topic. A candidate is more likely to comprehend the concept and improve their speed and precision the more questions they practice.

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How important is HCF and LCM topic in placement examinations?

HCF and LCM topic carry high weightage in the Quantitative Aptitude examinations.

Is HCF and LCM difficult to learn?

No, HCF and LCM topic is not difficult to understand. Students must practice HCF and LCM on a daily basis and memorise formulas to address the problems accurately. Students must also learn different shortcuts & tricks to improve their solving speed.

What is the fastest and most effective way to learn the HCF and LCM topic?

Students must understand the foundations and formulas of HCF and LCM. They should be informed of the shortcuts and tricks for various types of questions on the topic. They must practice on a daily basis before taking a weekly mock exam.

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