Greatest Common Factor of 756, 1686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of two or more numbers Calculator allows you to quickly calculate the GCF of 756, 1686 i.e. 6 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 756, 1686 is 6.

GCF(756, 1686) = 6

GCF of 756, 1686

Greatest common factor or Greatest common divisor (GCD) can be calculated in two ways

GCF of:

Greatest Common Factor of 756,1686

GCF of 756,1686 is 6

2 756, 1686
3 378, 843
126, 281

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor (GCF) By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 1686

List of positive integer factors of 1686 that divides 1686 without a remainder.

1,2,3,6,281,562,843,1686

Greatest Common Factor

We found the factors 756,1686 . The biggest common factor number is the GCF number.
So the greatest common factor 756,1686 is 6.

GCF of two or more Numbers Calculation Examples

Here are some samples of GCF of two or more Numbers calculations.

Frequently Asked Questions on GCF of 756, 1686

1. What is the GCF of 756, 1686?

Answer: GCF of 756, 1686 is 6.

2. How to Find the GCF of 756, 1686

Answer: Greatest Common Factor(GCF) of 756, 1686 = 6

Step 1: Divide all the numbers with common prime numbers having remainder zero.

Step 2: Then multiply all the prime factors GCF(756, 1686) = 6.