Greatest Common Factor of 414, 504, 744

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 414, 504, 744 i.e. 6 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 414, 504, 744 is 6.

GCF(414, 504, 744) = 6

GCF of 414, 504, 744

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

GCF of:

Greatest Common Factor of 414,504,744

GCF of 414,504,744 is 6

2 414, 504, 744
3 207, 252, 372
69, 84, 124

∴ So the GCF of the given numbers is 2 x 3 = 6

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

Factors of 414

List of positive integer factors of 414 that divides 414 without a remainder.

1,2,3,6,9,18,23,46,69,138,207,414

Factors of 504

List of positive integer factors of 504 that divides 504 without a remainder.

1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504

Factors of 744

List of positive integer factors of 744 that divides 744 without a remainder.

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 414,504,744 . The biggest common factor number is the GCF number.
So the greatest common factor 414,504,744 is 6.

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 414, 504, 744

1. What is the GCF of 414, 504, 744?

Answer: GCF of 414, 504, 744 is 6.

2. How to Find the GCF of 414, 504, 744

Answer: Greatest Common Factor(GCF) of 414, 504, 744 = 6

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

Step 2: Then multiply all the prime factors GCF(414, 504, 744) = 6.