Practice HCF and LCM Questions and Answers

• 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?
• Train X running at a speed of 32 km/hr crosses train Y in 20 seconds. Find the speed of train Y (in km/hr), if the sum of the length of train X and Y is 65...
• 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.
• If there is a loss of 20% on selling the article at 16/27 of the original selling price then what will be the percentage profit after selling the article a...
• 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 50 and 80 can be expressed in the form of (30m – 110) whereas LCM of these two numbers can be expressed in the form of (60n – 20). F...
• 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 40 and 90 can be expressed in the form of (30m – 110) whereas LCM of these two numbers can be expressed in the form of (60n – 30). F...
• HCF of two numbers 65 and 104 can be expressed in the form of (40m – 107) whereas LCM of these two numbers can be expressed in the form of (60n – 20). ...
• The length of a width is 20 cm and the side of a square is 24 cm less than the length and width of the rectangle. If perimeter of the rectangle is 30 cm mo...
• If the average age of "Ava," "Bella," and "Cara" is 30 years, and the ratio of their ages is 5:7:3, what is the age of "Cara"?
• The HCF and LCM of the two numbers are 225 and 306 respectively. When the first number is divided by 3, the quotient is 15. The other number is.