Practice HCF and LCM Questions and Answers

• 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...
• A dealer purchased 16 gadgets at Rs. 30 each. He sold 6 at 20% profit, 4 at 15% loss, and the rest at 10% profit. Compute the overall profit or loss.
• 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.
• Rs. 21,000 is split between 'P', 'Q', and 'R' such that one-third of P’s share equals 25% of Q’s share, and equals one-seventh of R’s share. Find R's...
• 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?
• LCM of two numbers is 8 times their HCF. The product of the numbers is 10240. What will be the maximum possible difference between the numbers?
• LCM of two numbers is 12 times their HCF. The product of the numbers is 25920. What will be the maximum possible difference between the numbers?
• LCM of two numbers is 18 times their HCF. The product of the numbers is 64800. What will be the maximum possible difference between the numbers?
• LCM of two numbers is 5 times their HCF. The product of the numbers is 4500. What will be the maximum possible difference between the numbers?
• The product of two numbers is 216 and their HCF is 6. What is the LCM of the numbers?
• The HCF and the LCM of two numbers are 5 and 175, respectively. If the ratio of the two numbers is 5:7, the larger of the two numbers is _______.
• Find the greatest number of 4 digits divisible by 15, 25, 40 and 75.
• Find the GCD of 1.08, 0.36 and 0.9.
• Find the greatest number that will divide 115, 149 and 183 leaving remainders 3, 5, 7 respectively.
• What is the LCM of 2/3, 4/6, 8/27?
• The HCF and LCM of 2 numbers are 2 and 60 respectively. If one of the numbers is 14 more than the other, find the smaller number.
• The HCF of two numbers is 33 and their sum is 594. Find the total number of such possible pairs of numbers.
• If the product of two numbers is 80 and their HCF is 5, then find the LCM of the given two numbers.
• Find the LCM of the following fractions: 4/13, 5/7 and 7/5 
• What is the greatest number which divides 18, 29, and 40 and gives the remainder as 2, 3, and 4 respectively?
• The LCM of x and y is 2057 and their HCF is 23. If x = 187, what will be the value of y?
• The LCM of two numbers is 960 while their product is 7680. Find the greatest common divisor of the two numbers.
• Find the HCF of 245, 350 and 385.
• The LCM of two numbers is 63 and their HCF is 7. How many such pairs of numbers are possible?
• Calculate the Least Common Multiple (LCM) of the two highest prime numbers under 10.
• A baker has four different varieties of cookies in quantities of 540, 720, 810, and 630. He wishes to pack these cookies such that each box holds cookies o...
• How many factors does the number 675 have in total?
• Two positive integers multiply to 5070, with their highest common factor being 13 and their sum amounting to 143. What is the difference between these two ...
• The Least Common Multiple (LCM) of two numbers is 15 times their Highest Common Factor (HCF). The product of these two numbers is 15,360. What is the maxim...
• The HCF of two 3 digit numbers is 17, and their LCM is 1224. Calculate the difference between the two numbers.
• The LCM of two numbers is 720. The HCF of these numbers is 12. If one of the numbers is 48, find the other number.
• The HCF of two numbers is 48, and their LCM is 1440. If one of the numbers is 576, find the other number.
• The LCM of two numbers is 540, and their HCF is 18. If one of the numbers is 90, find the other number.
• The given numbers are in the ratio 2:5:6, and their highest common factor (HCF) is 15. Determine the least common multiple (LCM) of these numbers.