CAT HCF and LCM is considered as one of the easiest topics by test takers. Not more than 1 question can be expected from this HCF and LCM topic in CAT Question Paper. However, knowing the right formulas and basic concepts of HCF and LCM can help in scoring +3 marks. The questions asked from the topic will be objective type and could be in the form of long statements or without numbers. For example, the question should be like find the LCM of a – b and b. Check CAT QA Syllabus
Read the article to know more about the basic concepts, important formula and solved sample questions to get an idea about the type of questions that can be asked from this topic in CAT 2021.
In Mathematics, HCF or Highest Common Factor is considered as the most known greatest common divisor of two or more positive integers that are the reasons for the division of the numbers without leaving a remainder.
How to Calculate HCF? - HCF is calculated by using some process or methods that are listed below.
To explain HCF Prime Factorisation Method, the HCF of 144, 104 and 160 are given with solution
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In arithmetic, LCM or Least Common Multiple can be defined as the least number that is divisible by two or more than two numbers. For example, 4 and 6 are taken as two numbers.
To explain LCM Prime Factorisation Method, the LCM of 60 and 45 are given with solution
To explain LCM Division Method, the LCM of 60 and 45 are given with solution
In the section below, formulas regarding HCF and LCM are mentioned.
Product of Two numbers = (HCF of the two numbers) x (LCM of the two numbers)
If A and B are taken as the numbers the formula will be A x B = H.C.F.(A,B) x L.C.M.(A,B)
In the section below, some solved questions of CAT HCF and LCM are given.
Ques. Find out the number of pairs of integers (x, y) stays for the product of x, y and HCF (x, y) = 1080.
Correct Answer: ( 3)
Ques. What are the pairs of positive integers x, y remains for HCF of x, y = 35 and sum of x and y = 1085?
Correct Answer: ( 3)
Ques. Calculate the pairs of positive integers x, y remaining to get HCF (x, y) + LCM (x, y) = 91?
Correct Answer: ( 2)
Ques. If the total of two numbers i.e x, y = 1050 find out the maximum value of the HCF between x and y
Correct Answer: ( 4)
Ques. What are the possible pairs can be found when the total of two non co–prime numbers added to their HCF and come out with 91. How many such pairs are possible?
Correct Answer: ( 3)
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Ques. When a > b, HCF (a, b) = h and LCM (a, b) = l. Find out the LCM of a – b and b
Correct Answer: ( 3)
Ques.In every minute, a red light flashes 3 times whereas a green light sparks 5 times in 2 minutes at regular intervals. Find out the number of times both the light flashes together in each hour when the timing of their flashing is the same.
Correct Answer: ( 1)
Ques. After dividing by 2,3,4,5,6, A is taken as the positive integer. And the outcome of the division remains 1,2,3,4,5 respectively. What are the number of integers from 0 to 100 that belong to the set A?
Correct Answer: ( 2)
Ques.There are 6 virtual stripes containing some or all the colours of yellow, green, blue and red in a new flag. How many ways it can be designed so that no 2 adjucent stripes contain the same colour?
Correct Answer: ( 3)
Some tips for the preparation for CAT HCF and LCM are mentioned below.
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*The article might have information for the previous academic years, please refer the official website of the exam.