What is HCF (Highest Common Factor)?

The Highest Common Factor (HCF) of two numbers is the highest possible number that divides both numbers completely. The Highest Common Factor (HCF) is also known as the Greatest Common Divisor (GCD). 

H.C.F. is also called the greatest common factor (GCF).

Problems on H.C.F and L.C.M – Aptitude Questions

HCF (Highest Common Factor) and LCM (Least Common Multiple) concepts are the foundation of many mathematical operations and are essential in solving complex problems. HCF and LCM problems challenge your ability to find the greatest common factor and the smallest common multiple of numbers, and they require both logical and mathematical skills. So get ready to exercise your brain as we delve into the world of HCF and LCM problems and explore the exciting ways they can be used to solve challenging aptitude questions!

Table of Content

  • How to Find HCF?
  • How to Find LCM?
  • How to Find HCF and LCM of a Fraction?
  • Questions on HCF
  • Questions on LCM
  • Solved Problems on HCF and LCM
  • Word Problems on HCF and LCM

Similar Reads

What is HCF (Highest Common Factor)?

The Highest Common Factor (HCF) of two numbers is the highest possible number that divides both numbers completely. The Highest Common Factor (HCF) is also known as the Greatest Common Divisor (GCD)....

How to Find HCF?

There are 3 methods to calculate the HCF of two numbers:...

What is LCM (Least Common Multiple)?

In arithmetic, the LCM or least common multiple of two numbers a and b, is denoted as LCM (a,b) is the smallest or least positive integer that is divisible by both a and b....

How to Find LCM?

There are 3 methods to find the least common multiple of two numbers....

How to Find HCF and LCM of a Fraction?

HCF of a Fraction:  HCF of Numerators /LCM of Denominators.  LCM of a Fraction:  LCM of Numerators /HCF of Denominators....

Questions on HCF

Question 1: Find the greatest number that will divide 72, 96, and 120 leaving the same remainder in each case....

Questions on LCM

Question 1: Find the LCM of 12, 18, and 24....

Solved Problems on HCF and LCM

Problem 1: Two numbers are in the ratio of 5:11. If their HCF is 7, find the numbers....

Word Problems on HCF and LCM

Problem 1: The policemen at three different places on the ground blow a whistle after every 42 sec, 60 sec, and 78 sec respectively. If they all blow the whistle simultaneously at 9:30:00 hours, then at what time do they whistle again together?...

FAQs on Problems on LCM and HCF

What is the relationship between LCM and HCF?...