LCM and HCF Questions for SSC GD Exam
SSC GD LCM and HCF Questions bring together the published questions available for this exam on PrepShots. Work through the set at your own pace, revise the underlying concepts when needed, and open any question to view its complete solution.
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Showing 1–20 of 93LCM and HCF SSC GD Questions
Q1Which is the largest number that divides 38, 50, 74 and 98 to leave the same remainder in each case?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?Q3Which is the largest number that divides 122, 146, 170 and 194 to leave the same remainder in each case?Q4What is the smallest number which when increased by 17 is exactly divisible by 5, 6 and 8?Q5Which is the largest number that divides 91, 127, 199 and 235 to leave the same remainder in each case?Q6Two numbers have HCF 14 and LCM 420. If their difference is 98, find the numbers.Q7What is the least number, which when divided by 8, 14, 15 and 20 leaves remainder 5 in each case?Q8What is the least number, which when divided by 9, 16, 30 and 24 leaves remainder 6 in each case?Q9What is the Highest Common Factor of 57 x 113 and 55 x 116?Q10What is the Highest Common Factor of 0.48, 0.64 and 0.80?Practice Free →Q11A 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.Q12The Highest Common Factor of two numbers is 15 and their Least Common Multiple is 360. What is the product of the two numbers?Q13The 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?Q14The 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?Q15Highest Common Factor of A and B is 36 and C = 18. What is the Highest Common Factor of A, B and C?Q16The ratio of two numbers is 7 : 9 and their Highest Common Factor is 3. What are the two numbers?Q17There 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?Q18A teacher has 84 chocolates and 108 candies. She wants to distribute them equally among the maximum number of students so that each student gets the same number of chocolates and the same number of candies. Find the maximum number of students and how many chocolates and candies each will get.Q19210 chips and 294 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?Q20A shopkeeper has 144 chocolates, 180 toffees, and 216 candies. He wants to pack them into boxes such that each box has the same number of chocolates, toffees, and candies, and no item is left. Find the maximum number of boxes.
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Binary Number SystemCo-prime NumbersComposite NumbersCube and Cube RootCyclicityDifferent Types of Remainder ProblemsDivisibility Rule of 11Divisibility Rule of 12
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Divisibility Rule of 15Divisibility Rule of 18Divisibility Rule of 2Divisibility Rule of 3Divisibility Rule of 4Divisibility Rule of 6Divisibility Rule of 8Divisibility Rule of 9Divisibility RulesEuclidean AlgorithmEuler's TheoremEven and Odd NumbersEven FactorsFactorialFactors and MultiplesFermat's TheoremHCFHCF and LCMHCF by Prime FactorizationHighest Power in FactorialIntegersLCMLCM by Prime FactorizationNatural NumbersNumber of FactorsNumber SystemOdd FactorsPlace Value and Face ValuePrime FactorsPrime NumbersRational and Irrational NumbersReal NumbersRemainderRemainder TheoremSquare and Square RootSum of FactorsTrailing Zeros in FactorialTypes of NumbersUnit DigitWhole Numbers
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