Greatest Common Factor of 1314, 1683

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 1314, 1683 i.e. 9 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 1314, 1683 is 9.

GCF(1314, 1683) = 9

GCF of 1314, 1683

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

GCF of:

Greatest Common Factor of 1314,1683

GCF of 1314,1683 is 9

3 1314, 1683
3 438, 561
146, 187

∴ So the GCF of the given numbers is 3 x 3 = 9

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

Factors of 1314

List of positive integer factors of 1314 that divides 1314 without a remainder.

1,2,3,6,9,18,73,146,219,438,657,1314

Factors of 1683

List of positive integer factors of 1683 that divides 1683 without a remainder.

1,3,9,11,17,33,51,99,153,187,561,1683

Greatest Common Factor

We found the factors 1314,1683 . The biggest common factor number is the GCF number.
So the greatest common factor 1314,1683 is 9.

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 1314, 1683

1. What is the GCF of 1314, 1683?

Answer: GCF of 1314, 1683 is 9.

2. How to Find the GCF of 1314, 1683

Answer: Greatest Common Factor(GCF) of 1314, 1683 = 9

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

Step 2: Then multiply all the prime factors GCF(1314, 1683) = 9.