HCF and LCM-PO

Three friends A, B and C start running around a circular stadium and complete a single round in 24, 36 and 30 seconds respectively.

After how many minutes will they meet again at the starting point ?

Find the greatest number that will divide 43, 91 and 183 so as to leave the same remainder in each case.

The H.C.F. of two numbers is 23 and the other two factors of their L.C.M. are 13 and 14. The larger of the two numbers is:

Six bells commence tolling together and toll at intervals of 2, 4, 6, 8, 10 and 12 seconds respectively. In 30 minutes, how many times do they toll together ?

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

The greatest number of four digits which is divisible by 15, 25, 40 and 75 is:

The product of two numbers is 4107. If the H.C.F. of these numbers is 37, then the greater number is:

Three number are in the ratio of 3 : 4 : 5 and their L.C.M. is 2400. Their H.C.F. is:

The G.C.F. of 1.08, 0.36 and 0.9 is

The product of two numbers is 2028 and their H.C.F. is 13. The number of such pairs is:

The least multiple of 7, which leaves a remainder of 4, when divided by 6, 9, 15 and 18 is

Find the lowest common multiple of 24, 36 and 40.

The least number which should be added to 2497 so that the sum is exactly divisible by 5, 6, 4 and 3 is:

Reduce 128352 to its lowest terms 238368

The least number which when divided by 5, 6 , 7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is

A, B and C start at the same time in the same direction to run around a circular stadium. A completes a round in 252 seconds, B in 308 seconds and c in 198 seconds, all starting at the same point. After what time will they again at the starting point ?

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is

What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

The ratio of two numbers is 3 : 4 and their H.C.F. is 4. Their L.C.M. is:

The smallest number which when diminished by 7, is divisible 12, 16, 18, 21 and 28 is

252 can be expressed as a product of primes as

The greatest possible length which can be used to measure exactly the lengths 7 m, 3 m 85 cm, 12 m 95 cm is

Find the highest common factor of 36 and 84.

Which of the following fraction is the largest ?

The greatest number which on dividing 1657 and 2037 leaves remainders 6 and 5 respectively, is

Which of the following has the most number of divisors?

The L.C.M. of two numbers is 48. The numbers are in the ratio 2 : 3. Then sum of the number is

If the sum of two numbers is 55 and the H.C.F. and L.C.M. of these numbers are 5 and 120 respectively, then the sum of the reciprocals of the numbers is equal to

The least number, which when divided by 12, 15, 20 and 54 leaves in each case a remainder of 8 is

Find the highest common factor of 36 and 84.

Three numbers which are co-prime to each other are such that the product of the first two is 551 and that of the last two is 1073. The sum of the three numbers is

Which of the following has the most number of divisors?

The H.C.F. of two numbers is 11 and their L.C.M. is 7700. If one of the numbers is 275, then the other is

What will be the least number which when doubled will be exactly divisible by 12, 18, 21 and 30 ?

The ratio of the two numbers is 9:11 and their L.C.M is 999999. The numbers are

Four prime numbers are arranged in ascending order according to their magnitude. Product of first Three is 27,648 and the product of last three 46,080.

The sum of two numbers is 528 and their H.C.F is 33. The number of pairs of numbers satisfying the above condition is

The largest measuring cylinder that can accurately fill 3 tanks of capacity 98, 182 and 266 litres each, is of capacity ?

In a palace, three different types of coins are there namely gold, silver and bronze. The number of gold, silver and bronze coins is 18000, 9600 and 3600 respectively. Find the minimum number of rooms required if in each room should give the same number of coins of the same type ?

H.C.F of 4 x 27 x 3125, 8 x 9 x 25 x 7 and 16 x 81 x 5 x 11 x 49 is :

Find the greatest number that will divide 400, 435 and 541 leaving 9, 10 and 11 as reminders respectively.

If the product of two numbers is 84942 and their H.C.F. is 33, find their L.C.M.

Let N be the greatest number that will divide 1305, 4665 and 6905, leaving the same remainder in each case. Then sum of the digits in N is:

A rectangular courtyard 3.78 metres long and 5.25 metres wide is to be paved exactly with square tiles, all of the same size. What is the largest size of the tile which could be used for the purpose ?

A drink vendor has 80 liters of Mazza, 144 liters of Pepsi, and 368 liters of Sprite. He wants to pack them in cans, so that each can contains the same number of liters of a drink, and doesn’t want to mix any two drinks in a can. What is the least number of cans required?

least perfect cube which is divisible by 2, 3, 4 and 6 is

LCM of two numbers is 120 and the HCF is 10, what is the sum of two numbers?

Two numbers N and 16 have LCM = 48

and GCF = 8. Find N.

Find the greatest common factor of 24, 40 and 60.