Greatest Common Factor of 315, 408, 21

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, 408, 21 i.e. 3 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 315, 408, 21 is 3.

GCF(315, 408, 21) = 3

GCF of 315, 408, 21

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

GCF of:

Greatest Common Factor of 315,408,21

GCF of 315,408,21 is 3

3 315, 408, 21
105, 136, 7

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

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 408

List of positive integer factors of 408 that divides 408 without a remainder.

1,2,3,4,6,8,12,17,24,34,51,68,102,136,204,408

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 315,408,21 . The biggest common factor number is the GCF number.
So the greatest common factor 315,408,21 is 3.

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, 408, 21

1. What is the GCF of 315, 408, 21?

Answer: GCF of 315, 408, 21 is 3.

2. How to Find the GCF of 315, 408, 21

Answer: Greatest Common Factor(GCF) of 315, 408, 21 = 3

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

Step 2: Then multiply all the prime factors GCF(315, 408, 21) = 3.