How to calculate HCF and LCM?
There are two famous methods to calculate both HCF and LCM:
- Prime factorization Method: Prime factorization is a mathematical method used to express a composite number as the product of its prime factors. Example 100 = 2 x 2 x 5 x 5.
- Division Method: This method is also known as long division method. It is a technique used to determine both the quotient and remainder in the process of dividing one number (known as the dividend) by another (referred to as the divisor). This step-by-step procedure hinges on the principles of repeated subtraction and multiplication. For example when 3 divides 16 it gives 5 as quotient and 1 as remainder.
HCF and LCM Questions
HCF (Highest Common Factor) and LCM (Least Common Multiple) are fundamental concepts in mathematics, particularly in number theory. HCF is the highest common number which can exactly divide the two given numbers. LCM or Lowest Common Multiple is the common number that is divisible by both the given numbers. These concepts are essential tools for solving a wide range of mathematical problems.
In this article, we will learn about the definitions of HCF and LCM, their properties, and methods for calculating HCF and LCM. Along with this, all the possible varieties of HCF and LCM Questions have been discussed with solutions, and practice questions are provided on HCF and LCM for learners.
Table of Content
- What is HCF?
- What is LCM?
- How to calculate HCF and LCM?
- HCF Questions with Solutions
- LCM Questions with Solution
- Relation Between HCF and LCM
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