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Practice HCF and LCM Questions and Answers

The HCF of two numbers is 4. Which of the following can never be their LCM?
The HCF of two numbers is 18. Which of the following can never be their LCM?
The HCF of two numbers is 9. Which of the following can never be their LCM?
Find the HCF of 798 and 525.
Find the HCF of 834 and 582.
Find the HCF of 932 and 748.
Find the LCM of 20, 30, 40, 50.
The HCF of two numbers is 21. Which of the following can never be their LCM?
The ratio of two numbers is 9:12 and their LCM is 324. The numbers are:
The ratio of two numbers is 5:10 and their LCM is 100. The numbers are:
The ratio of two numbers is 6:14 and their LCM is 126. The numbers are:
The ratio of two numbers is 4:8 and their LCM is 96. The numbers are:
The ratio of two numbers is 12:14 and their LCM is 168. The numbers are:
The ratio of two numbers is 10:12 and their LCM is 240. The numbers are:
Let N be the greatest number that will divide 82, 105, 128 leaving the same remainder in each case. Then sum of the digits in N is:
Let N be the greatest number that will divide 86, 120, 154 leaving the same remainder in each case. Then sum of the digits in N is:
Let N be the greatest number that will divide 78, 109, 140 leaving the same remainder in each case. Then sum of the digits in N is:
Let N be the greatest number that will divide 72, 105, 138 leaving the same remainder in each case. Then sum of the digits in N is:
Let N be the greatest number that will divide 90, 112, 134 leaving the same remainder in each case. Then sum of the digits in N is:
Let N be the greatest number that will divide 85, 112, 139 leaving the same remainder in each case. Then sum of the digits in N is:
Let N be the greatest number that will divide 85, 116, 147 leaving the same remainder in each case. Then sum of the digits in N is:
The smallest number which when divided by 25 and 30 leaves remainder 10 and 15 respectively is:
The smallest number which when divided by 24 and 32 leaves remainder 10 and 18 respectively is:
The smallest number which when divided by 27 and 36 leaves remainder 12 and 21 respectively is:
The smallest number which when divided by 28 and 32 leaves remainder 12 and 16 respectively is:
The smallest number which when divided by 29 and 33 leaves remainder 11 and 15 respectively is:
The smallest number which when divided by 22 and 34 leaves remainder 10 and 22 respectively is:
The smallest number which when divided by 23 and 28 leaves remainder 11 and 16 respectively is:
The LCM of two numbers is 33 times of their HCF. The sum of the LCM and HCF is 850. If one number is 25, then the other number is:
The least number which when divided by 3, 6, 9 and 12 leave zero remainder in each case and when divided by 16 leaves a remainder of 3 is:
The least number which when divided by 5, 10, 12 and 15 leave zero remainder in each case and when divided by 18 leaves a remainder of 6 is:
The least number which when divided by 4, 8, 10 and 12 leave zero remainder in each case and when divided by 13 leaves a remainder of 9 is:
The least number which when divided by 6, 8, 9 and 12 leave zero remainder in each case and when divided by 13 leaves a remainder of 7 is:
The least number which when divided by 10, 12, 15 and 20 leave zero remainder in each case and when divided by 24 leaves a remainder of 12 is:
The greatest number of four digits which when divided by 5, 7, 9 leave remainders 3, 5, 7 respectively is:
The greatest number of four digits which when divided by 10, 12, 14 leave remainders 8, 10, 12 respectively is:
The greatest number of four digits which when divided by 10, 12, 14 leave remainders 5, 7, 9 respectively is:
The greatest number of four digits which when divided by 5, 8, 11 leave remainders 2, 4, 6 respectively is:
The greatest number, which when subtracted from 6254, gives a number exactly divisible by each of 20, 25, 30 and 35, is:
The greatest number, which when subtracted from 7452, gives a number exactly divisible by each of 20, 27, 30 and 32, is:

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