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Practice HCF and LCM Questions and Answers

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 10, 12, 15 and 20 leave zero remainder in each case and when divided by 24 leaves a remainder of 12 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 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 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 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 20 min, 25 min and 30 min respectively to complete the one round. When do they all come relatively to the...
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 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:
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 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.

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