HCF and LCM Calculator – Easy Math Tool with Explanation
The HCF and LCM Calculator helps you quickly find the Highest Common Factor (HCF) and Least Common Multiple (LCM) of two or more numbers. Along with instant results, this page explains the concepts, formulas, and step-by-step methods to help students truly understand the calculations.
This calculator is useful for school students, competitive exam preparation, teachers, and anyone who wants to solve mathematical problems accurately without manual errors.
What Is HCF (Highest Common Factor)?
The Highest Common Factor (HCF), also known as the Greatest Common Divisor (GCD), is the largest number that divides two or more numbers exactly without leaving a remainder.
- Used to simplify fractions
- Helpful in ratio and proportion problems
- Commonly used in algebra and number theory
What Is LCM (Least Common Multiple)?
The Least Common Multiple (LCM) is the smallest positive number that is a multiple of two or more given numbers.
- Used in time and work problems
- Helps in adding or subtracting fractions
- Common in real-life scheduling problems
HCF and LCM Formula
For two numbers:
| Formula | Description |
|---|---|
| HCF × LCM = Product of numbers | Used to calculate LCM when HCF is known |
Methods to Calculate HCF and LCM
- Prime factorization method
- Division method
- Listing multiples (for small numbers)
For larger numbers, using an online calculator is faster and reduces calculation errors.
Worked Example
Numbers: 24 and 36
- HCF = 12
- LCM = 72
These values can be verified using the formula: HCF × LCM = 24 × 36
HCF and LCM Calculator Tool
HCF and LCM Calculator
Use this calculator to find the Highest Common Factor (HCF) and Least Common Multiple (LCM) of two or more numbers instantly.
What Are HCF and LCM?
HCF is the largest number that divides given numbers exactly. LCM is the smallest number that is a multiple of all given numbers.
Calculator
FAQs
Is this calculator free? Yes.
Can I use more than two numbers? Yes.
HCF & LCM Calculator Interface
Frequently Asked Questions
Can this calculator handle more than two numbers?
Yes, it can calculate HCF and LCM for multiple numbers.
Is this calculator free to use?
Yes, it is completely free.
Is HCF the same as GCD?
Yes, HCF and GCD refer to the same mathematical concept.
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