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LCM and HCF Questions for SSC Exams

SSC LCM and HCF Questions bring together the LCM and HCF questions available from SSC papers on PrepShots. Practise across the different exams in this group, compare the question mix and open any question to view its complete solution.

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LCM and HCF SSC Questions

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Q1Which is the largest number that divides 38, 50, 74 and 98 to leave the same remainder in each case?
SSC GD Constable2026LCM and HCF
Q2B = 700 - A. When B is divided by 3, 4 and 5 the remainder is 1 in each case. What is the value of A?
SSC GD Constable2026LCM and HCF
Q3Which is the largest number that divides 122, 146, 170 and 194 to leave the same remainder in each case?
SSC GD Constable2026LCM and HCF
Q4What is the smallest number which when increased by 17 is exactly divisible by 5, 6 and 8?
SSC GD Constable2026LCM and HCF
Q5Which is the largest number that divides 91, 127, 199 and 235 to leave the same remainder in each case?
SSC GD Constable2026LCM and HCF
Q6Two numbers have HCF 14 and LCM 420. If their difference is 98, find the numbers.
SSC GD Constable2026LCM and HCF
Q7What is the least number, which when divided by 8, 14, 15 and 20 leaves remainder 5 in each case?
SSC GD Constable2026LCM and HCF
Q8What is the least number, which when divided by 9, 16, 30 and 24 leaves remainder 6 in each case?
SSC GD Constable2026LCM and HCF
Q9Two numbers are in the ratio 5:8 , and their HCF is 6 . Find the numbers.
SSC MTS2026LCM and HCF
Q10What is the Highest Common Factor of 9/14, 27/35 and 45/70 ?
SSC MTS2026LCM and HCF
LCM and HCF Questions for SSC Continue with short revision, PYQs and timed practice for the exams in this category.
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Q11198 chips and 330 toffees are to be distributed among maximum number of boys. Each boy gets the same number of chips. Each boy get the same number of toffees. How many chips does each boy get?
SSC MTS2026LCM and HCF
Q12What is the Highest Common Factor of 57 x 113 and 55 x 116?
SSC GD Constable2026LCM and HCF
Q13What is the Highest Common Factor of 0.48, 0.64 and 0.80?
SSC GD Constable2026LCM and HCF
Q14A rectangular courtyard, 4.56 meters long and 7.68 meters wide is paved exactly with square tiles of same size. Find the size (in cm) of the largest tile that can be used for this purpose.
SSC GD Constable2026LCM and HCF
Q15The Highest Common Factor of two numbers is 15 and their Least Common Multiple is 360. What is the product of the two numbers?
SSC GD Constable2026LCM and HCF
Q16The Highest Common Factor of two numbers is 12 and their Least Common Multiple is 180. The ratio of the numbers is 5 : 3. What is the sum of the two numbers?
SSC GD Constable2026LCM and HCF
Q17The Highest Common Factor of two numbers is 7 and their Least Common Multiple is 252. The ratio of the numbers is 9 : 4. What is the sum of the two numbers?
SSC GD Constable2026LCM and HCF
Q18Highest Common Factor of A and B is 36 and C = 18. What is the Highest Common Factor of A, B and C?
SSC GD Constable2026LCM and HCF
Q19The ratio of two numbers is 7 : 9 and their Highest Common Factor is 3. What are the two numbers?
SSC GD Constable2026LCM and HCF
Q20There is a rectangular floor of size 525 cm × 700 cm. The floor is to tiled with largest square tiles. How many such tiles will be required?
SSC GD Constable2026LCM and HCF
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