Practice HCF and LCM Questions and Answers

• 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?
• From a point on a circular track 10 km long A, B and C started running in the same direction at the same time with speeds of 3(1/3) km/h, 5 km/h and 2 km/h...
• The HCF of two numbers is 6 and their LCM is 84. If one of these numbers is 42, then the second number is:
• What is the HCF of 4/5, 6/8, 8/25 ?
• LCM of two numbers is 56 times their HCF, with the sum of their HCF and LCM being 1710. If one of the two numbers is 240, then what is the other number?
• What are the Highest Common Factor and Lowest Common Multiple of 6, 72, 120?
• Three numbers are in the ratio 4 : 9 : 13 and their LCM is 2340. Their HCF is:
• A number is three times another number and their HCF is 8. What is the sum of the squares of the numbers?
• The HCF of two numbers is 12. Which one of the following can never be their LCM?
• What is the HCF of 36 and 198?
• The HCF of two numbers 110 and 1980 is:
• LCM and HCF of the two numbers are 225 and 15 respectively. One of the numbers is 45, then find the second number.
• The L.C.M of a² – 2a – 3 and a³ + a² + a + 1 is 
• LCM and HCF of two numbers are respectively 3 and 18. If one of them is 9, find the other number.
• HCF of two numbers 60 and 100 can be expressed in the form of (25m – 80) whereas LCM of these two numbers can be expressed in the form of (40n – 20). F...
• HCF of two numbers 75 and 105 can be expressed in the form of (15m – 120) whereas LCM of these two numbers can be expressed in the form of (50n – 25). ...
• HCF of two numbers 70 and 140 can be expressed in the form of (20m – 110) whereas LCM of these two numbers can be expressed in the form of (40n – 20). ...
• HCF of two numbers 64 and 96 can be expressed in the form of (20m – 108) whereas LCM of these two numbers can be expressed in the form of (60n – 18). F...