Greatest Common Factor of 3404/638, 2224/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3404/638, 2224/800

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 3404/638,2224/800

Given fractions are 3404/638,2224/800

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 3404,2224

Greatest Common Factor of Numerators i.e. GCF of 3404,2224 is 4 .

LCM of Denominators means LCM of 638,800 as per the given fractions.

LCM of 638,800 is 255200 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3404,2224

GCF of Fractions 3404/638,2224/800 is 4/255200

2 3404, 2224
2 1702, 1112
851, 556

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3404,2224 By Matching Biggest Common Factor Method

Greatest Common Factor of 3404,2224 By Matching Biggest Common Factor Method

Factors of 3404

List of positive integer factors of 3404 that divides 3404 without a remainder.

1,2,4,23,37,46,74,92,148,851,1702,3404

Factors of 2224

List of positive integer factors of 2224 that divides 2224 without a remainder.

1,2,4,8,16,139,278,556,1112,2224

Greatest Common Factor

We found the factors 3404,2224 . The biggest common factor number is the GCF number.
So the greatest common factor 3404,2224 is 4.

Lets's calculate LCM of 638,800

2 638, 800
319, 400

∴ So the LCM of the given numbers is 2 x 319 x 400 = 255200

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/255200

Therefore, the GCF of Fractions 3404/638,2224/800 is 4/255200

Least Common Multiple of 638,800 with GCF Formula

Least Common Multiple of 638,800 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 638,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(638,800) = 2

common factors(in case of two or more numbers have common factors) = 1

GCF(638,800) x common factors =2 x 1 = 2

LCM(638,800) = ( 638 × 800 ) / 2

LCM(638,800) = 510400 / 2

LCM(638,800) = 255200


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3404/638, 2224/800

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 3404/638, 2224/800?

Answer: GCF of Numerators as per given numbers 3404/638, 2224/800 is

GCF of Numerators i.e. for 3404,2224 is 4

LCM of denominators i.e. for 638,800 is 255200.

Thus, GCF of Fractions is 4/255200.Finally, GCF of Fractions for 3404/638, 2224/800 is 4/255200.