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# CAT Past Year Questions: HCF & LCM - General Test Preparation for CUET

Question for CAT Past Year Questions: HCF & LCM
Try yourself:The number of common terms in the two sequences: 15, 19, 23, 27, . . . . , 415 and 14, 19, 24, 29, . . . , 464 is?



Question for CAT Past Year Questions: HCF & LCM
Try yourself:A natural number n is such that 120 ≤ n ≤ 240. If HCF of n and 240 is 1, how many values of n are possible?



Question for CAT Past Year Questions: HCF & LCM
Try yourself:How many ordered triplets (a, b, c) exist such that LCM (a, b) = 1000, LCM (b, c) = 2000, LCM (c, a) = 2000 and HCF (a, b) = k × 125?



Question for CAT Past Year Questions: HCF & LCM
Try yourself:The ratio of two numbers whose sum is 600 is 7 : 8. What is the LCM of the given two numbers?



Question for CAT Past Year Questions: HCF & LCM
Try yourself:How many natural numbers divide exactly one out of 1080 and 1800, but not both?



Question for CAT Past Year Questions: HCF & LCM
Try yourself:Arrange the numbers 27/6, 33/4 and 52/3 in ascending order.



Question for CAT Past Year Questions: HCF & LCM
Try yourself:(X + 3)/3, (X + 8)/4, (X + 15)/5, (X + 24)/6 ... ((X + 80)/10  is a sequence where X ≠ 1 What is the least value of X for which HCF (Numerator, Denominator) = 1 for each term of the given sequence?



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## FAQs on CAT Past Year Questions: HCF & LCM | General Test Preparation for CUET PDF Download

 1. What is the difference between HCF and LCM? Ans. The HCF (Highest Common Factor) of two or more numbers is the largest number that divides each of them without leaving a remainder. On the other hand, the LCM (Least Common Multiple) of two or more numbers is the smallest number that is a multiple of each of them.
 2. How can I find the HCF of two numbers? Ans. To find the HCF of two numbers, you can use the prime factorization method. First, find the prime factors of both numbers. Then, identify the common prime factors and multiply them together to get the HCF.
 3. Can you provide an example of finding the LCM of two numbers? Ans. Sure! Let's find the LCM of 12 and 18. The prime factorization of 12 is 2^2 * 3, and the prime factorization of 18 is 2 * 3^2. To find the LCM, we take the highest power of each prime factor that appears in either number. Therefore, the LCM of 12 and 18 is 2^2 * 3^2 = 36.
 4. Is it possible for the HCF of two numbers to be greater than their LCM? Ans. No, the HCF of two numbers cannot be greater than their LCM. The HCF is a factor of both numbers and is always smaller or equal to the LCM, which is a multiple of both numbers.
 5. How can I find the LCM of multiple numbers? Ans. To find the LCM of multiple numbers, you can use the prime factorization method. Find the prime factors of each number and identify the common prime factors. Then, multiply the highest power of each prime factor together to get the LCM.

## General Test Preparation for CUET

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## General Test Preparation for CUET

187 videos|404 docs|867 tests
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