HCF and LCM Problems
Q1. If the LCM of three numbers is 180 and their HCF is 6, what are the numbers?
Q2. the HCF of two numbers is 8, and their product is 64. What are the numbers?
Q3. Find the HCF and LCM of (91/37) and (15/64)?
Q4. What smallest value when divided by 36, 24 and 16 leaves remainder in each case?
Q5. Find the smallest value which when divided by 12 leaves a remainder of 10 when divided by 24 leaves a remainder of 22 and when divided by 32 leaves a remainder of 30.
Q6. Find the highest value that will divide 43, 91 and 183 so as to leave the same remainder in each case.
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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