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Infographics: HCF & LCM
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FAQs on Infographics: HCF & LCM
| 1. What is the difference between HCF and LCM? |  |
Ans. HCF, or Highest Common Factor, is the largest number that divides two or more numbers without leaving a remainder. LCM, or Lowest Common Multiple, is the smallest number that is a multiple of two or more numbers. Essentially, HCF focuses on the factors of numbers, while LCM concentrates on their multiples.
| 2. How can HCF be calculated using prime factorisation? | |
Ans. To calculate HCF using prime factorisation, first express each number as a product of its prime factors. Then, identify the common prime factors and take the lowest power of each common factor. The product of these factors gives the HCF of the numbers.
| 3. What methods can be used to find LCM? | |
Ans. The LCM can be found using several methods, including the prime factorisation method, the listing multiples method, and the relationship between HCF and LCM. The formula involving HCF is LCM(a, b) = (a × b) / HCF(a, b), which provides a quick way to calculate LCM when HCF is known.
| 4. Why is it important to understand HCF and LCM for competitive exams like SSC CGL? | |
Ans. Understanding HCF and LCM is crucial for competitive exams such as SSC CGL because these concepts frequently appear in multiple-choice questions, quantitative aptitude sections, and problem-solving scenarios. Mastery of these topics aids in efficient time management and accuracy during the exam.
| 5. Can HCF and LCM be used to solve real-life problems? | |
Ans. Yes, HCF and LCM are applicable in various real-life situations, such as scheduling events, distributing resources evenly, and solving problems related to time and frequency. For example, if two events occur at different intervals, finding the LCM helps determine when both events will coincide.
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Apr 20, 2026 Last updated
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