Greatest Common Factor of 400, 1200

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 400, 1200 i.e. 400 largest integer that divides all the numbers equally.

Greatest common factor (GCF) of 400, 1200 is 400.

GCF(400, 1200) = 400

GCF of 400, 1200

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

GCF of:

Greatest Common Factor of 400,1200

GCF of 400,1200 is 400

2 400, 1200
2 200, 600
2 100, 300
2 50, 150
5 25, 75
5 5, 15
1, 3

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 5 x 5 = 400

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

Factors of 400

List of positive integer factors of 400 that divides 400 without a remainder.

1,2,4,5,8,10,16,20,25,40,50,80,100,200,400

Factors of 1200

List of positive integer factors of 1200 that divides 1200 without a remainder.

1,2,3,4,5,6,8,10,12,15,16,20,24,25,30,40,48,50,60,75,80,100,120,150,200,240,300,400,600,1200

Greatest Common Factor

We found the factors 400,1200 . The biggest common factor number is the GCF number.
So the greatest common factor 400,1200 is 400.

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 400, 1200

1. What is the GCF of 400, 1200?

Answer: GCF of 400, 1200 is 400.

2. How to Find the GCF of 400, 1200

Answer: Greatest Common Factor(GCF) of 400, 1200 = 400

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

Step 2: Then multiply all the prime factors GCF(400, 1200) = 400.