CAT Exam > CAT Videos > Quantitative Aptitude (Quant) > Number System: HCF & LCM
Number System: HCF & LCM Video Lecture | Quantitative Aptitude (Quant) - CAT
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FAQs on Number System: HCF & LCM Video Lecture - Quantitative Aptitude (Quant) - CAT
| 1. What is the difference between HCF and LCM? |  |
Ans. HCF (Highest Common Factor) is the largest number that divides two or more numbers without leaving a remainder, while LCM (Least Common Multiple) is the smallest number that is a multiple of two or more numbers. HCF focuses on common divisors, whereas LCM focuses on common multiples.
| 2. How can I calculate the HCF of two numbers? | |
Ans. To calculate the HCF of two numbers, you can use the prime factorization method, where you factor both numbers into their prime components and multiply the lowest powers of all common prime factors. Alternatively, you can use the Euclidean algorithm, which involves repeated division until the remainder is zero.
| 3. What is the relationship between HCF and LCM? | |
Ans. The relationship between HCF and LCM of two numbers can be expressed using the formula: HCF × LCM = Product of the two numbers. This means that if you know either the HCF or LCM and the product of the two numbers, you can easily find the other.
| 4. How do I find the LCM of multiple numbers? | |
Ans. To find the LCM of multiple numbers, you can use the prime factorization method by finding the prime factors of each number and taking the highest power of each prime factor. Alternatively, you can calculate the LCM of two numbers at a time using the relationship between HCF and LCM until all numbers are included.
| 5. Are there any shortcuts for calculating HCF and LCM in competitive exams? | |
Ans. Yes, there are several shortcuts for calculating HCF and LCM in competitive exams. For example, for HCF, you can use the division method for smaller numbers or apply the Euclidean algorithm. For LCM, using the formula LCM(a, b) = (a × b) / HCF(a, b) can save time, especially when dealing with larger numbers.
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Dec 22, 2024 Last updated |
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