Greatest Common Factor of 4384/944, 8978/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4384/944, 8978/568

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 4384/944,8978/568

Given fractions are 4384/944,8978/568

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 4384,8978

Greatest Common Factor of Numerators i.e. GCF of 4384,8978 is 2 .

LCM of Denominators means LCM of 944,568 as per the given fractions.

LCM of 944,568 is 67024 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4384,8978

GCF of Fractions 4384/944,8978/568 is 2/67024

2 4384, 8978
2192, 4489

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

Greatest Common Factor of 4384,8978 By Matching Biggest Common Factor Method

Greatest Common Factor of 4384,8978 By Matching Biggest Common Factor Method

Factors of 4384

List of positive integer factors of 4384 that divides 4384 without a remainder.

1,2,4,8,16,32,137,274,548,1096,2192,4384

Factors of 8978

List of positive integer factors of 8978 that divides 8978 without a remainder.

1,2,67,134,4489,8978

Greatest Common Factor

We found the factors 4384,8978 . The biggest common factor number is the GCF number.
So the greatest common factor 4384,8978 is 2.

Lets's calculate LCM of 944,568

2 944, 568
2 472, 284
2 236, 142
118, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 118 x 71 = 67024

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/67024

Therefore, the GCF of Fractions 4384/944,8978/568 is 2/67024

Least Common Multiple of 944,568 with GCF Formula

Least Common Multiple of 944,568 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 944,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,568) = 8

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

GCF(944,568) x common factors =8 x 1 = 8

LCM(944,568) = ( 944 × 568 ) / 8

LCM(944,568) = 536192 / 8

LCM(944,568) = 67024


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 4384/944, 8978/568

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 4384/944, 8978/568?

Answer: GCF of Numerators as per given numbers 4384/944, 8978/568 is

GCF of Numerators i.e. for 4384,8978 is 2

LCM of denominators i.e. for 944,568 is 67024.

Thus, GCF of Fractions is 2/67024.Finally, GCF of Fractions for 4384/944, 8978/568 is 2/67024.