If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to:
Correct answer C. 11/120
Topic / 30 questions
Problems on H.C.F and L.C.M MCQs
Problems on H.C.F and L.C.M MCQs test your ability to find the highest common factor and lowest common multiple of numbers and fractions, and to apply them in word problems. They suit NTS, SSC and banking candidates, and every question reveals its correct answer immediately so you can check each method.
- Numbers 104
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- Age Questions 95
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- Problems on Numbers 47
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- Height and Distance 37
- True Discount 36
- Stocks and Shares 34
- Boats and Streams 34
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- Counting 32
- Logarithm 30
- Problems on H.C.F and L.C.M 30
- Calendar 30
- Road Problems 26
- Word Problems 25
- Men and Food 24
The H.C.F. of 9/10, 12/25, 18/35 and 21/40 is:
Correct answer C. 3/1400
The L.C.M. of two numbers is 48. The numbers are in the ratio 2: 3. Then sum of the number is:
Correct answer C. 40
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Which of the following has the most number of divisors?
Correct answer C. 176
The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is:
Correct answer B. 127
The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is:
Correct answer D. 548
Which of the following fraction is the largest?
Correct answer A. 7/8
Find the highest common factor of 36 and 84.
Correct answer C. 12
Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is:
Correct answer C. 85
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The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is:
Correct answer C. 35 cm
252 can be expressed as a product of primes as:
Correct answer A. 2 x 2 x 3 x 3 x 7
The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is:
Correct answer B. 1015
The ratio of two numbers is 3: 4 and their H.C.F. is 4. Their L.C.M. is:
Correct answer D. 48
What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30?
Correct answer B. 630
The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is:
Correct answer C. 308
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A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point?
Correct answer D. 46 minutes and 12 seconds
The least number which when divided by 5, 6, 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is:
Correct answer B. 1683
Reduce 128352/238368 to its lowest terms.
Correct answer C. 7/13
The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:
Correct answer C. 23
Find the lowest common multiple of 24, 36 and 40.
Correct answer C. 360
About Problems on H.C.F and L.C.M MCQs
This aptitude topic builds on prime factorisation. Questions ask you to find the H.C.F of numbers such as 36 and 84, express numbers like 252 as a product of primes, and reduce large fractions to lowest terms using the H.C.F. You will also work with fractions, where H.C.F equals the H.C.F of numerators over the L.C.M of denominators, and remainder problems such as the least number that leaves the same remainder when divided by several numbers. Ratio-based items use the fact that the product of two numbers equals their H.C.F times their L.C.M.
Exams that include Problems on H.C.F and L.C.M MCQs
Pakistan
- NTS
- FPSC
- PPSC
- OTS
- Banking job tests
- Army/Navy/PAF initial tests
India
- SSC CGL
- SSC CHSL
- IBPS Clerk
- RRB NTPC
- Campus placements
Bangladesh
- Bank job exams
- BCS
- Primary Assistant Teacher recruitment
Frequently asked questions
What is the relation between H.C.F and L.C.M of two numbers?
For any two numbers, the product of the numbers equals the product of their H.C.F and L.C.M. For example, for 12 and 18, the H.C.F is 6 and the L.C.M is 36, and 6 times 36 equals 216, which is also 12 times 18. This relation does not hold for three or more numbers in general.
How do you find the H.C.F and L.C.M of fractions?
The H.C.F of fractions equals the H.C.F of the numerators divided by the L.C.M of the denominators. The L.C.M of fractions equals the L.C.M of the numerators divided by the H.C.F of the denominators. Always write the fractions in lowest terms before applying these formulas.
How many H.C.F and L.C.M MCQs are on MCQs360?
MCQs360 has 30 Problems on H.C.F and L.C.M MCQs in its Aptitude section. They are free to practise without signing up, and the answer appears instantly after each attempt, which helps you check your working on factor and multiple problems.
Last reviewed October 2026