Embibe Experts Solutions for Chapter: Number System, Exercise 5: LCM and GCD

There are $4$ numbers. The GCD of each pair is $3$ and the LCM of all the $4$ numbers is $116$. What is the product of $4$ numbers?

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

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

What is the least number which is a multiple of $17$ and when divided by $2, 3, 4, 5, 6$ and $8$ leaves $1$ as remainder in each case?

The greatest four-digit number which is divisible by $15, 25, 40$ and $75$ is

The greatest four-digit number when divided by $15,20$ and $28$, respectively, and has a remainder $2$ in each case is

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

Three big drums contain $36$ litres, $45$ litres and $72$ litres of oil. What is the biggest measure which can measure all the different quantities accurately?