Greatest Common Factor of 920/576, 5096/298

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 920/576, 5096/298

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 920/576,5096/298

Given fractions are 920/576,5096/298

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 920,5096

Greatest Common Factor of Numerators i.e. GCF of 920,5096 is 8 .

LCM of Denominators means LCM of 576,298 as per the given fractions.

LCM of 576,298 is 85824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 920,5096

GCF of Fractions 920/576,5096/298 is 8/85824

2 920, 5096
2 460, 2548
2 230, 1274
115, 637

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

Greatest Common Factor of 920,5096 By Matching Biggest Common Factor Method

Greatest Common Factor of 920,5096 By Matching Biggest Common Factor Method

Factors of 920

List of positive integer factors of 920 that divides 920 without a remainder.

1,2,4,5,8,10,20,23,40,46,92,115,184,230,460,920

Factors of 5096

List of positive integer factors of 5096 that divides 5096 without a remainder.

1,2,4,7,8,13,14,26,28,49,52,56,91,98,104,182,196,364,392,637,728,1274,2548,5096

Greatest Common Factor

We found the factors 920,5096 . The biggest common factor number is the GCF number.
So the greatest common factor 920,5096 is 8.

Lets's calculate LCM of 576,298

2 576, 298
288, 149

∴ So the LCM of the given numbers is 2 x 288 x 149 = 85824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/85824

Therefore, the GCF of Fractions 920/576,5096/298 is 8/85824

Least Common Multiple of 576,298 with GCF Formula

Least Common Multiple of 576,298 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 576,298 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(576,298) = 2

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

GCF(576,298) x common factors =2 x 1 = 2

LCM(576,298) = ( 576 × 298 ) / 2

LCM(576,298) = 171648 / 2

LCM(576,298) = 85824


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 920/576, 5096/298

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 920/576, 5096/298?

Answer: GCF of Numerators as per given numbers 920/576, 5096/298 is

GCF of Numerators i.e. for 920,5096 is 8

LCM of denominators i.e. for 576,298 is 85824.

Thus, GCF of Fractions is 8/85824.Finally, GCF of Fractions for 920/576, 5096/298 is 8/85824.