Practice HCF and LCM Questions and Answers

• 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.
• 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.
• 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 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 _______.