Find the greatest number which divides 34, 90, and 104 and leaves the same remainder in each case.

Find the smallest number which when divided by 12, 18 and 24 leaves remainder 5 in each case.

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

What is the largest 4-digit number divisible by 3, 7, 11 and 13?

The HCF and LCM of two numbers p and q are 44 and 4620 respectively. When p is divided by 55, the quotient is 4 and remainder is 0. What is the value of q?

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