Practice HCF and LCM Questions and Answers

• 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?
• HCF and LCM of two positive numbers are 24 and 144. If one number is 50% more than the other number, then find the sum of both numbers
• 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.
• Determine the highest common factor (HCF) of the numbers 75, 125, and 300.
• 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.
• The least common multiple (LCM) of two numbers is 22 times their highest common factor (HCF). One of the numbers is 132, and the sum of the HCF and LCM is ...
• The least common multiple (LCM) of two numbers is 510, and their highest common factor (HCF) is 17. Additionally, the sum of these two numbers is 187. Find...
• Two numbers have a sum of their LCM and HCF equal to 464, and their LCM is 28 times their HCF. One of the numbers is 64. Find the difference between the tw...
• Can you determine how many factors the number 1,560 has?
• Find the smallest two-digit number that leaves 4 as remainder when divided by 6 and 7.