Greatest Common Factor of 735, 420, 459

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 735, 420, 459 i.e. 3 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 735, 420, 459 is 3.

GCF(735, 420, 459) = 3

GCF of 735, 420, 459

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

GCF of:

Greatest Common Factor of 735,420,459

GCF of 735,420,459 is 3

3 735, 420, 459
245, 140, 153

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

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

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 420

List of positive integer factors of 420 that divides 420 without a remainder.

1,2,3,4,5,6,7,10,12,14,15,20,21,28,30,35,42,60,70,84,105,140,210,420

Factors of 459

List of positive integer factors of 459 that divides 459 without a remainder.

1,3,9,17,27,51,153,459

Greatest Common Factor

We found the factors 735,420,459 . The biggest common factor number is the GCF number.
So the greatest common factor 735,420,459 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 735, 420, 459

1. What is the GCF of 735, 420, 459?

Answer: GCF of 735, 420, 459 is 3.

2. How to Find the GCF of 735, 420, 459

Answer: Greatest Common Factor(GCF) of 735, 420, 459 = 3

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

Step 2: Then multiply all the prime factors GCF(735, 420, 459) = 3.