Greatest Common Factor of 4448/564, 9896/4334

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4448/564, 9896/4334

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 4448/564,9896/4334

Given fractions are 4448/564,9896/4334

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 4448,9896

Greatest Common Factor of Numerators i.e. GCF of 4448,9896 is 8 .

LCM of Denominators means LCM of 564,4334 as per the given fractions.

LCM of 564,4334 is 1222188 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4448,9896

GCF of Fractions 4448/564,9896/4334 is 8/1222188

2 4448, 9896
2 2224, 4948
2 1112, 2474
556, 1237

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

Greatest Common Factor of 4448,9896 By Matching Biggest Common Factor Method

Greatest Common Factor of 4448,9896 By Matching Biggest Common Factor Method

Factors of 4448

List of positive integer factors of 4448 that divides 4448 without a remainder.

1,2,4,8,16,32,139,278,556,1112,2224,4448

Factors of 9896

List of positive integer factors of 9896 that divides 9896 without a remainder.

1,2,4,8,1237,2474,4948,9896

Greatest Common Factor

We found the factors 4448,9896 . The biggest common factor number is the GCF number.
So the greatest common factor 4448,9896 is 8.

Lets's calculate LCM of 564,4334

2 564, 4334
282, 2167

∴ So the LCM of the given numbers is 2 x 282 x 2167 = 1222188

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/1222188

Therefore, the GCF of Fractions 4448/564,9896/4334 is 8/1222188

Least Common Multiple of 564,4334 with GCF Formula

Least Common Multiple of 564,4334 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 564,4334 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(564,4334) = 2

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

GCF(564,4334) x common factors =2 x 1 = 2

LCM(564,4334) = ( 564 × 4334 ) / 2

LCM(564,4334) = 2444376 / 2

LCM(564,4334) = 1222188


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 4448/564, 9896/4334

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 4448/564, 9896/4334?

Answer: GCF of Numerators as per given numbers 4448/564, 9896/4334 is

GCF of Numerators i.e. for 4448,9896 is 8

LCM of denominators i.e. for 564,4334 is 1222188.

Thus, GCF of Fractions is 8/1222188.Finally, GCF of Fractions for 4448/564, 9896/4334 is 8/1222188.