Practice HCF and LCM Questions and Answers

• 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...
• 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 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.
• Find the LCM of x² – 8x + 15 and x² – 5x + 6 is. 
• The LCM of the two numbers is 12 times their HCF. The sum of LCM and HCF is 429 and if both the number are smaller than their LCM. Find both numbers.
• The HCF and LCM of the two numbers are 225 and 360 respectively. When the first number is divided by 3, the quotient is 20. The other number is.
• Jiya, Kavya, Shivam, and Mani start walking from the same point in the same direction around a rectangular track and each one of them completes one round i...
• How many pairs of natural numbers (x, y) exist such that x>y and the product of x, y and HCF (x, y) = 2520? solve this 
• Find the HCF of 36, 108, and 156.
• What should be the minimum number of chocolates so that when distributed among 3,4,5,6 and 7 children, 1,2,3,4 and 5 chocolates are left respectively?
• Find the LCM of 25/14, 15/28, 30/21
• The LCM of the two numbers is 27 times their HCF, and the difference between the LCM and HCF is 416. If the numbers are in the ratio 4: 7, then find the po...
• Tell the product of two numbers, which are LCM 917 and HCF 1
• Find the smallest multiple of 10 that, when divided by 4, 6, and 9, leaves a remainder of 4 in each case.
• Find the largest four-digit number which when divided by each of 18, 21 and 24 leaves a remainder of 7.
• The ratio of two numbers is 5: 8 and their LCM is 320. What is the difference between these two numbers?
• Find the HCF of 240, 280 and 560.
• LCM of two numbers is 10 times their HCF. The product of the numbers is 18000. What will be the maximum possible difference between the numbers?