Greatest Common Factor of 456, 264, 840

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 456, 264, 840 i.e. 24 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 456, 264, 840 is 24.

GCF(456, 264, 840) = 24

GCF of 456, 264, 840

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

GCF of:

Greatest Common Factor of 456,264,840

GCF of 456,264,840 is 24

2 456, 264, 840
2 228, 132, 420
2 114, 66, 210
3 57, 33, 105
19, 11, 35

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

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

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 264

List of positive integer factors of 264 that divides 264 without a remainder.

1,2,3,4,6,8,11,12,22,24,33,44,66,88,132,264

Factors of 840

List of positive integer factors of 840 that divides 840 without a remainder.

1,2,3,4,5,6,7,8,10,12,14,15,20,21,24,28,30,35,40,42,56,60,70,84,105,120,140,168,210,280,420,840

Greatest Common Factor

We found the factors 456,264,840 . The biggest common factor number is the GCF number.
So the greatest common factor 456,264,840 is 24.

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 456, 264, 840

1. What is the GCF of 456, 264, 840?

Answer: GCF of 456, 264, 840 is 24.

2. How to Find the GCF of 456, 264, 840

Answer: Greatest Common Factor(GCF) of 456, 264, 840 = 24

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

Step 2: Then multiply all the prime factors GCF(456, 264, 840) = 24.