Hcf and lcm
Most Upvoted Answer
Hcf and lcm
Highest Common Factor (HCF):
The Highest Common Factor (HCF) of two or more numbers is the largest number that divides each of them without leaving a remainder. It is also known as the Greatest Common Divisor (GCD).
- The HCF of two numbers is the largest number that can divide both numbers evenly.
- For example, the HCF of 12 and 18 is 6, as 6 is the largest number that can divide both 12 and 18.
- The HCF is used in simplifying fractions and in many mathematical calculations.
Least Common Multiple (LCM):
The Least Common Multiple (LCM) of two or more numbers is the smallest number that is a multiple of each of the numbers.
- The LCM of two numbers is the smallest number that is divisible by both numbers.
- For example, the LCM of 4 and 6 is 12, as 12 is the smallest number that is divisible by both 4 and 6.
- The LCM is used in adding and subtracting fractions, as well as in solving equations involving multiple numbers.
Relation between HCF and LCM:
The relationship between the HCF and LCM of two numbers can be expressed by the formula: HCF x LCM = Product of the two numbers.
- This formula shows that the product of the HCF and LCM of two numbers is equal to the product of the two numbers themselves.
- For example, if the HCF of 8 and 12 is 4 and their LCM is 24, then 4 x 24 = 8 x 12.
- This relationship is fundamental in number theory and helps in solving various mathematical problems efficiently.
Understanding the concepts of HCF and LCM is crucial in mathematics, as they are used in various calculations and problem-solving techniques. By knowing how to calculate and apply HCF and LCM, one can simplify complex mathematical operations and equations effectively.
Attention Class 6 Students!
To make sure you are not studying endlessly, EduRev has designed Class 6 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 6.
|
Explore Courses for Class 6 exam
|
|
Similar Class 6 Doubts
Top Courses for Class 6View all
Hcf and lcm
Question Description
Hcf and lcm for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Hcf and lcm covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hcf and lcm.
Hcf and lcm for Class 6 2024 is part of Class 6 preparation. The Question and answers have been prepared according to the Class 6 exam syllabus. Information about Hcf and lcm covers all topics & solutions for Class 6 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Hcf and lcm.
Solutions for Hcf and lcm in English & in Hindi are available as part of our courses for Class 6.
Download more important topics, notes, lectures and mock test series for Class 6 Exam by signing up for free.
Here you can find the meaning of Hcf and lcm defined & explained in the simplest way possible. Besides giving the explanation of
Hcf and lcm, a detailed solution for Hcf and lcm has been provided alongside types of Hcf and lcm theory, EduRev gives you an
ample number of questions to practice Hcf and lcm tests, examples and also practice Class 6 tests.
|
|
Explore Courses for Class 6 exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup