Greatest Common Factor of 408, 456, 584

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 408, 456, 584 i.e. 8 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 408, 456, 584 is 8.

GCF(408, 456, 584) = 8

GCF of 408, 456, 584

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

GCF of:

Greatest Common Factor of 408,456,584

GCF of 408,456,584 is 8

2 408, 456, 584
2 204, 228, 292
2 102, 114, 146
51, 57, 73

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

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

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 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 584

List of positive integer factors of 584 that divides 584 without a remainder.

1,2,4,8,73,146,292,584

Greatest Common Factor

We found the factors 408,456,584 . The biggest common factor number is the GCF number.
So the greatest common factor 408,456,584 is 8.

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 408, 456, 584

1. What is the GCF of 408, 456, 584?

Answer: GCF of 408, 456, 584 is 8.

2. How to Find the GCF of 408, 456, 584

Answer: Greatest Common Factor(GCF) of 408, 456, 584 = 8

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

Step 2: Then multiply all the prime factors GCF(408, 456, 584) = 8.