GMAT Exam > GMAT Videos > Quantitative for GMAT > Basic Concepts: HCF and LCM
Basic Concepts: HCF and LCM Video Lecture | Quantitative for GMAT
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FAQs on Basic Concepts: HCF and LCM Video Lecture - Quantitative for GMAT
| 1. What is the HCF of 24 and 36? |  |
Ans. The HCF (Highest Common Factor) of 24 and 36 is 12. This means that 12 is the largest number that can divide both 24 and 36 without leaving a remainder.
| 2. How can I find the LCM of two numbers? | |
Ans. To find the LCM (Least Common Multiple) of two numbers, you can use the prime factorization method. First, factorize both numbers into their prime factors. Then, take the highest power of each prime factor that appears in either number and multiply them together. The result will be the LCM.
| 3. Can the HCF of two numbers be greater than the numbers themselves? | |
Ans. No, the HCF of two numbers cannot be greater than the numbers themselves. The HCF is always a factor of both numbers, so it must be smaller or equal to the smallest number among them.
| 4. Is the LCM of two numbers always larger than the numbers themselves? | |
Ans. Yes, the LCM of two numbers is always greater than or equal to the numbers themselves. This is because the LCM is the smallest number that is divisible by both numbers, so it must be at least as large as the larger number among them.
| 5. Can the HCF and LCM of two numbers be the same? | |
Ans. Yes, it is possible for the HCF and LCM of two numbers to be the same. This occurs when the two numbers are equal to each other. In such cases, both the HCF and LCM will be equal to the numbers themselves.
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