Four metal rods of lengths 78 cm, 104 cm, 117 cm and 169 cm are to be cut into parts of equal length. Each part must be as long as possible. What is the maximum number of pieces that can be cut?

Let L be the LCM and Hbe the HCF of two given numbers. L and H are in the ratio 3 : 2. If the sum of the two numbers is 45, then what is the product of the numbers?

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

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

The product of two numbers is 2160 and their HCF is 12. If the sum of the squares of the two numbers is 4896, then what is the mean of the two numbers?

There are two numbers. HCF of both the numbers is 11, and their LCM is 693. If the first number is 77, find the second number?