Practice HCF and LCM Questions and Answers

• The least number which when divided by 4, 8, 10 and 12 leave zero remainder in each case and when divided by 13 leaves a remainder of 9 is:
• The least number which when divided by 3, 9, 12 and 16 leave zero remainder in each case and when divided by 17 leaves a remainder of 8 is:
• The least number which when divided by 6, 8, 9 and 12 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is:
• The least number which when divided by 8, 10, 12 and 15 leave zero remainder in each case and when divided by 16 leaves a remainder of 8 is:
• The least number which when divided by 4, 6, 10 and 12 leave zero remainder in each case and when divided by 13 leaves a remainder of 8 is:
• The least number which when divided by 10, 12, 15 and 20 leave zero remainder in each case and when divided by 24 leaves a remainder of 12 is:
• The least number which when divided by 7, 12, 15 and 20 leave zero remainder in each case and when divided by 26 leaves a remainder of 4 is:
• The greatest number of four digits which when divided by 5, 7, 9 leave remainders 3, 5, 7 respectively is:
• The greatest number of four digits which when divided by 10, 12, 14 leave remainders 8, 10, 12 respectively is:
• The greatest number of four digits which when divided by 8, 10, 12 leave remainders 5, 7, 9 respectively is:
• The greatest number of four digits which when divided by 10, 12, 14 leave remainders 5, 7, 9 respectively is:
• The greatest number of four digits which when divided by 5, 8, 11 leave remainders 2, 4, 6 respectively is:
• The greatest number, which when subtracted from 6254, gives a number exactly divisible by each of 20, 25, 30 and 35, is:
• The greatest number, which when subtracted from 5462, gives a number exactly divisible by each of 25, 30, 32 and 40, is:
• The greatest number, which when subtracted from 7452, gives a number exactly divisible by each of 20, 27, 30 and 32, is:
• The LCM and the HCF of the numbers 25 and 50 are in the ratio:
• The LCM and the HCF of the numbers 30 and 45 are in the ratio:
• The LCM and the HCF of the numbers 25 and 40 are in the ratio:
• The LCM and the HCF of the numbers 42 and 60 are in the ratio:
• Two numbers are in the ratio 3:5. The product of their H.C.F. and L.C.M. is 3375. The sum of the numbers is:
• Two numbers are in the ratio 2:8. The product of their H.C.F. and L.C.M. is 3600. The sum of the numbers is:
• Two numbers are in the ratio 5:7. The product of their H.C.F. and L.C.M. is 5040. The sum of the numbers is:
• Two numbers are in the ratio 2:7. The product of their H.C.F. and L.C.M. is 5054. The sum of the numbers is:
• Two numbers are in the ratio 4:7. The product of their H.C.F. and L.C.M. is 5488. The sum of the numbers is:
• Two numbers are in the ratio 3:7. The product of their H.C.F. and L.C.M. is 2541. The sum of the numbers is:
• Three boys runs around a circular track and takes 24 min, 40 min and 42 min respectively to complete the one round. When do they all come relatively to the...
• Three boys runs around a circular track and takes 20 min, 25 min and 30 min respectively to complete the one round. When do they all come relatively to the...
• Three boys runs around a circular track and takes 15 min, 20 min and 35 min respectively to complete the one round. When do they all come relatively to the...
• Three boys runs around a circular track and takes 10 min, 30 min and 35 min respectively to complete the one round. When do they all come relatively to the...
• The greatest number by which if 1468 and 2258 are divided the remainders will be 8 and 6 respectively, is:
• The HCF and LCM of two natural numbers are 14 and 66, respectively. What is the difference between the two numbers, if one of the numbers is 28?
• The HCF and LCM of two natural numbers are 16 and 44, respectively. What is the difference between the two numbers, if one of the numbers is 22?
• The H.C.F. of two numbers is 14 and the other two factors of their L.C.M. are 5 and 11. The larger of the two numbers is:
• The H.C.F. of two numbers is 16 and the other two factors of their L.C.M. are 4 and 13. The larger of the two numbers is:
• The H.C.F. of two numbers is 22 and the other two factors of their L.C.M. are 9 and 11. The larger of the two numbers is:
• Find the HCF of two numbers if LCM and product of those two numbers are 30 and 960 respectively.
• Find the HCF of two numbers if LCM and product of those two numbers are 45 and 630 respectively.
• Find the HCF of two numbers if LCM and product of those two numbers are 34 and 680 respectively.
• What is the difference between the LCM and HCF of 32, 40?
• What is the difference between the LCM and HCF of 36, 40?