Greatest Common Factor of 315, 105, 693

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 315, 105, 693 i.e. 21 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 315, 105, 693 is 21.

GCF(315, 105, 693) = 21

GCF of 315, 105, 693

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

GCF of:

Greatest Common Factor of 315,105,693

GCF of 315,105,693 is 21

3 315, 105, 693
7 105, 35, 231
15, 5, 33

∴ So the GCF of the given numbers is 3 x 7 = 21

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

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 105

List of positive integer factors of 105 that divides 105 without a remainder.

1,3,5,7,15,21,35,105

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Greatest Common Factor

We found the factors 315,105,693 . The biggest common factor number is the GCF number.
So the greatest common factor 315,105,693 is 21.

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 315, 105, 693

1. What is the GCF of 315, 105, 693?

Answer: GCF of 315, 105, 693 is 21.

2. How to Find the GCF of 315, 105, 693

Answer: Greatest Common Factor(GCF) of 315, 105, 693 = 21

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

Step 2: Then multiply all the prime factors GCF(315, 105, 693) = 21.