HCF and LCM
HCF and LCM: Overview
This topic covers concepts, such as, LCM and HCF of Numbers, Least Common Multiple (LCM), Number of Divisors of a Number N & Number of Numbers Divisible by a Given Integer etc.
Important Questions on HCF and LCM

What is the least number which when divided by leaves remainder in each case?

What will be the remainder when is divided by ?

First even natural numbers are multiplied with the first multiples of . Find out the number of zeroes at the end of the product.

HCF and LCM of two numbers are and respectively. If the numbers are between and , the sum of the numbers is _____.

From the given details estimate the number of people affected by Dengue fever in a particular locality in the year .
Year | ||||||
No of People |

What is the remainder when [] is divided by ?

How many number lie between which divisible by .



Traffic lights at three different points are changing respectively at and seconds. If all the three lights are changed together at hours, then at what time does the next change take place together?

Find the least number of square tiles required to pave the ceiling of a room is long and broad :

Traffic lights at three different points are changing respectively at and seconds. If all the three lights are changed together at hours, then at what time does the next change take place together?

A florist bought n number of flowers for , and sell a certain number of flowers at and gain of profit. Find the number of flowers left:

Find the least number of square tiles required to pave the ceiling of a room is long and broad :

It the of the number are and Recpect . It one of the number is three digit no more thenand less then Find the other number.

The sum of and is times of If are of the number is FInd the other.

Find the smaller number which when dwindled by Leaves a remainder of Is each case.


The H.C.F. and L.C.M. of two numbers are and respectively. If the first number is divided by 2, the quotient is . The other number is:
