Practice HCF and LCM Questions and Answers

• 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?
• Find the HCF of 3341 and 3328.
• If the product of two numbers is 3026 and their LCM is 89 then their HCF is:
• Two numbers are in the ratio 3:5 and their HCF is 20. Their LCM is
• The LCM of two numbers is 40 times its HCF. If the product of the numbers is 1440, find their HCF.
• The LCM of two numbers is 1991 and their HCF is 23. If one of the numbers is 181, the other number is
• The LCM of two numbers is 5 times their HCF. The sum of LCM and HCF is 180. If one of the numbers is 150, then the other number is
• A, B and C start running at the same time and at the same point in the same direction in a circular stadium. A completes a round in 720 seconds, B in 1080 ...
• The maximum number of students among whom 891 pens and 810 pencils can be distributed in such a way that each student gets same number of pens and same num...
• Three boys step off together from the same spot. Their steps measure 64 cm, 80 cm and 88 cm respectively. The minimum distance each should cover so that al...
• The LCM of six consecutive numbers is 420. The sum of the first and fourth numbers is equal to the sixth number. What is the product of six numbers? ...
• A farmer has 1517 cows and 902 sheep. He farms them into flocks, keeping cows and sheep separate and having the same number of animals in each flock. If th...
• In a school, 68 boys and 119 girls have been divided into the largest possible equal classes, so that each class of boy numbers the same as each class of g...
• The LCM for two prime numbers x and y, (x > y) is 319. The value of (2y + x) :
• A vendor has 3 kinds of shakes i.e. chocolate, strawberry and banana. He has 180 litres of chocolate shake, 360 litres of strawberry shake and 540 litres o...
• If Ashish has 3 types of pens in a ratio 4 : 6 : 5 such that their LCM is 360, then find the sum of the highest and lowest number of pens that he has?
• Find the least number which when divided separately by 15, 20, 35 and 45 leaves 3 as remainder in each case?
• Let x be the smallest number which when subtracted from 31560 makes the resulting number divisible by 13, 16, 25 and 30. The product of the digits of x is ...
• From a point on circular track 20 km long P, Q and R started running in the same direction at the same time with speed of 4 km per hour, 2 km per hour, 10 ...
• A, B and C start running around a circular track and complete one round in 10, 15 and 25 seconds respectively. In how many seconds will the three meet agai...
• Find out the sum of digits of largest number that leaves same remainder when it divides 12006, 6006, 5506 and 10006. 
• If the sum of 2 numbers is 185, their LCM is 1700 and HCF is 5. Then the difference between 2 numbers is:
• The sum of two numbers is 156 and their HCF is 26. Find how many such pairs can be formed.
• The product of the two prime numbers is 187. What will the L.C.M of these two numbers?