Greatest Common Factor Calculator
Created by
Eon CalculatorWhat is Greatest Common Factor
| Method | Numbers | GCF | Props | Cons |
|---|---|---|---|---|
Listing Factors | 12, 18 | 6 | Simple | Time-consuming |
Prime Factorization | 24,36 | 12 | Systematic | Tedious |
Euclidean Algorithm | 48,18 | 6 | Efficient | Abstract |
Venn Diagram | 30,45 | 15 | Visual | Limited |
Division Method | 56,72 | 8 | Direct | Repetitive |
Ladder Method | 40,60 | 20 | Organized | Complex |
Using a Calculator | 90,150 | 30 | Quick | Dependent |
Table 1 provides overview of various methods to calculate Greatest Common Factor (GCF)
Methods to Calculate GCF, HCF, GCD
There are many ways to calculate GCF, HCF and GCD. Below are some most common methods used;
The Prime Factorization Method involves breaking down numbers into their prime factors (the numbers that are only divisible by 1 and themselves). Then, the common prime factors are multiplied to get the Greatest Common Factor value.
For example: Common factors of 18 and 27 = 1, 3, 9 → GCF = 9.In this Listing Factors Method, all the factors of each given number are listed and the largest common factor is chosen manually. This method is very simple and works well for smaller numbers but it’s prone to errors and time consuming for large numbers .
For example: GCF of 24 and 36 = 2 × 2 × 3 = 12.Division or Euclidean Algorithm Method is a very helpful method when dealing with larger numbers. It involves dividing the larger number by the smaller number and continuing the process until the remainder is 0. The last divisor is the Greatest Common Factor.
For example: 48 ÷ 18 = 2 (remainder 12), 18 ÷ 12 = 1 (remainder 6), 12 ÷ 6 = 2 (remainder 0). GCF of 48 and 18 is 6.Steps to Use the GCF Calculator
Greatest Common Factor Calculator
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