Practice HCF and LCM Questions and Answers

• Find the largest number of the five digit which is exactly divisible by 48, 72 and 108.
• The sum of two numbers is 444 and their HCF is 37. Find all the possible pairs of such numbers?
• The LCM of two numbers is 15 times their HCF.  The sum of HCF and LCM of these numbers is 352.If one of the numbers is 110, find the other number.
• The HCF of each pair of 5 numbers is 3 and their LCM is 159. Find the multiplication of all the number.
• Three plots having an area of 210, 245 and 315 square meters respectively are to be sub-divided into equalised square flower beds. If the breadth of a bed ...
• Four runners started running simultaneously from a point on a circular track. They took 400 seconds, 600 seconds, 720 seconds and 900 seconds to complete o...
• The HCF of a^6 - 1 and a^4+ 2a^3- 2a-1 is 
• The fruit-seller wants to pack the boxes with apples. If he packs 4 or 5 apples per box then he is left with 3 apples but if he packs with 8 or 9 apples ag...
• The HCF and LCM of two consecutive even number is 2 and 112 respectively. Find the sum of reciprocal of these two numbers?
• The ratio of two number is 13 : 10 and their HCF is 25. then find out their LCM?
• The LCM of two numbers is 12 times their HCF. The sum of LCM and HCF is 403 and if both the number are smaller than their LCM. Find both the numbers?
• Find the total number of Prime factor in the given expression? 315 × 56 × 68
• Find the smallest number which when divided by 3, 4, 5 and 6 gives remainder ‘2’ in each case?
• Sum of the two numbers is 42. LCM and HCF of that two number is 72 and 6 respectively. Find the sum of reciprocals of the numbers?
• Find the least number of equal sizes square tiles which can be fitted in a rectangular room whose sides are 360 m and 480 m?
• LCM of two numbers is 64 times of their HCF. Sum of the HCF and LCM is 975. If the first number is 960. Find the other number?
• Sum of the two numbers is 80. LCM and HCF of that two number is 168 and 8 respectively. Find the difference of the numbers?
• The least multiple of 19, which on dividing by 5,6,7,8 and 9 leaves remainder 2 in each case is
• Four machines make a beep after every 1, 3,  5 and 2 min respectively . In 5hrs , how many times do they beep together if they have just beeped togeth...
• Find the largest number of the five digit which is exactly divisible by 48, 72 and 108. ...
• The ratio of two number is 6 : 5 and their HCF is 15. So find and their LCM?
• Two men started moving in a circular path from the same place at the same time in the same direction. If they complete one revolution in 12 min and 16 min ...
• Three numbers are in the ratio 2:3:4 and their HCF is 24. Find the numbers?
• If the ratio of two numbers is 8 : 9 and their HCF is 6 then their LCM will be : ...
• If HCF of two numbers is 16 then which of the following can never be their LCM? ...
• If HCF of two numbers is 11 then which of the following can never be their LCM?
• If HCF of two numbers is 27 then which of the following can never be their LCM? ...
• Find the greatest number which when divide 80,121 & 148 leave remainder 2, 4 & 5 respectively?
• Find the greatest number which when divide 69,103 & 171 leave a same remainder 1 in each case?
• Find the greatest number which when divide 28, 82 & 109 leave a same remainder 1 in each case?
• Find the greatest number which when divide 33,55 & 77 leave a same remainder in each case? ...
• Find the greatest number which when divide 25,40 & 55 leave a same remainder in each case? ...
• Five bells commence tolling together and tolls at intervals of 2, 6, 10, 18 and 24 seconds respectively. In 36 minutes, how many times do they toll togethe...
• Five bells commence tolling together and tolls at intervals of 6, 12, 36, 42 and 60 seconds respectively. In 126 minutes, how many times do they toll toget...
• The least number which is exactly divisible by 10,15 and 20 is  ...
• The least number which is exactly divisible by 15, 25 and 30 is 
• The least number which is exactly divisible by 9, 27 and 36 is ...
• The least number which is exactly divisible by 5, 15 and 35 is 
• The least number which when divided by 5, 15 and 25 leave a same remainder 2 in each case? 
• The least number which when divided by 6,18 and 20 leave a same remainder 3 in each case?