Practice Finding HCF (GCD)
Worksheet Description
Practice finding HCF (GCD) with interactive worksheets. Solve 2 to 5 number problems, choose difficulty, and get instant feedback online.
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The Worksheet
The detailed description of the worksheet
Introduction
This worksheet provides interactive practice for finding the Highest Common Factor (HCF), also known as the Greatest Common Divisor (GCD), of two or more integers. It helps learners develop strong factorization skills through structured, self-correcting problems.
What Is HCF (GCD)
The Highest Common Factor (HCF) of two or more numbers is the greatest number that divides all of them exactly without leaving a remainder.
For example, the HCF of 12 and 18 is 6, because 6 is the largest number that divides both numbers completely.
Worksheet Features
This is an online, interactive, and self-correcting worksheet where learners enter answers directly in the browser.
- Generate 8, 16, or 24 problems per worksheet
- Each problem includes 2 to 5 integers
- Instant feedback for every answer
- No printing or downloading required
Configurable Practice Options
Learners can customize the worksheet based on their level and preference.
- Number Count: Choose 2, 3, 4, or 5 integers per problem.
- Difficulty Levels: Easy, Medium, or Hard.
How to Find HCF Using Prime Factorization
In this method, each number is expressed as a product of its prime factors. The HCF is obtained by multiplying the common prime factors with the smallest powers.
Example: Find HCF of 24, 36 and 48
- 24 = 2 × 2 × 2 × 3 = 2³ × 3
- 36 = 2 × 2 × 3 × 3 = 2² × 3²
- 48 = 2 × 2 × 2 × 2 × 3 = 2⁴ × 3
Common factors: 2² and 3
HCF = 2² × 3 = 4 × 3 = 12
How to Find HCF Using Division Method
The division method (Euclidean algorithm) is a faster way to find the HCF of two numbers.
Example: Find HCF of 48 and 18
- 48 ÷ 18 = 2 remainder 12
- 18 ÷ 12 = 1 remainder 6
- 12 ÷ 6 = 2 remainder 0
When the remainder becomes 0, the divisor at that step is the HCF.
HCF = 6
How to Work Through the Problems
For each problem, find the HCF of the given integers using any method you prefer.
Enter the final answer directly into the input box. No intermediate steps are required.
Online, Interactive, and Self-Correcting
This worksheet runs entirely in the browser.
As you enter answers, the system checks them instantly, helping you correct mistakes and build confidence quickly.