Greatest Common Factor of 414, 648, 900

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, 648, 900 i.e. 18 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 414, 648, 900 is 18.

GCF(414, 648, 900) = 18

GCF of 414, 648, 900

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

GCF of:

Greatest Common Factor of 414,648,900

GCF of 414,648,900 is 18

2 414, 648, 900
3 207, 324, 450
3 69, 108, 150
23, 36, 50

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

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 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 414,648,900 . The biggest common factor number is the GCF number.
So the greatest common factor 414,648,900 is 18.

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, 648, 900

1. What is the GCF of 414, 648, 900?

Answer: GCF of 414, 648, 900 is 18.

2. How to Find the GCF of 414, 648, 900

Answer: Greatest Common Factor(GCF) of 414, 648, 900 = 18

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

Step 2: Then multiply all the prime factors GCF(414, 648, 900) = 18.