H.C.F and L.C.M Calculator
Enter multiple positive whole numbers, separated by commas or spaces. See step-by-step working using the Euclidean algorithm and factor build-up.
Tip: You can paste a list. Only positive whole numbers are supported.
Step-by-step working
1) Clean the list
2) H.C.F using Euclidean method
3) L.C.M using HCF relation
4) Optional: prime factor breakdown
Note: HCF is found by repeatedly finding the remainder until zero; LCM is built pairwise using the relation LCM(a,b) = |a×b| / HCF(a,b).
Table of Contents
Introduction
Need to quickly find the H.C.F (Highest Common Factor) or L.C.M (Lowest Common Multiple) of numbers? Our H.C.F and L.C.M Calculator online is the easiest way to get accurate results within seconds. Whether you are preparing for exams, teaching mathematics, or solving everyday problems, this free calculator saves time and removes the risk of calculation errors.
Instead of going through lengthy steps of prime factorization or repeated division, simply enter the numbers and get both HCF and LCM instantly.
Related Calculator: Use Interactive Length Converter and Scientific calculator.
What is H.C.F (Highest Common Factor)?
Example:
HCF of 24 and 36 = 12
This means 12 is the biggest number that can divide both 24 and 36 exactly.
What is L.C.M (Lowest Common Multiple)?
The L.C.M is the smallest number that is a multiple of two or more numbers. It is often used in time, fraction, and ratio problems.
Example:
LCM of 4 and 6 = 12
Here, 12 is the smallest number divisible by both 4 and 6.
Why Use Our H.C.F and L.C.M Calculator Online?
Doing HCF and LCM manually can take time, especially with large numbers. Our online HCF and LCM calculator gives you instant, reliable answers.
Key benefits:
- Fast & Accurate – No manual errors, instant output.
- Easy to Use – Just enter numbers and click calculate.
- Supports Multiple Numbers – Works with two or more numbers.
- Free Online Tool – No downloads, no sign-up required.
- Perfect for Students & Teachers – Saves time in solving math problems.
How to Use the H.C.F and L.C.M Calculator?
- Enter the numbers in the input box (separated by commas).
- Click the Calculate button.
- Get both HCF and LCM results instantly.
It’s that simple.
Real-Life Applications of HCF and LCM
These concepts are not only for mathematics textbooks but also practical in daily life.
- HCF is used when dividing items into equal groups. Example: dividing chocolates equally among children.
- LCM helps in finding when two or more repeating events will occur together. Example: two trains leaving a station at different intervals.
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Frequently Asked Questions (FAQs)
Q1. What is the HCF of 18 and 24?
The HCF of 18 and 24 is 6.
Q2. What is the LCM of 8 and 12?
The LCM of 8 and 12 is 24.
Q3. Can I calculate HCF and LCM for more than two numbers?
Yes, just enter multiple numbers separated by commas.
Q4. Is this calculator free to use?
Yes, it’s 100% free and requires no sign-up.
Q5. What is another name for HCF?
HCF is also known as Greatest Common Divisor (GCD).
Conclusion
Our H.C.F and L.C.M Calculator is the simplest way to find the Highest Common Factor and Lowest Common Multiple without manual effort. It is fast, accurate, and completely free. Whether you are solving math problems, preparing for exams, or need results for practical use, this tool helps you calculate HCF and LCM in just one click.
Try it now and save time with quick, accurate results.