Practice HCF and LCM Questions and Answers

• 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). ...
• 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.
• 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.
• 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...
• 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?