Greatest Common Factor of 7133/668, 5056/2398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7133/668, 5056/2398

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 7133/668,5056/2398

Given fractions are 7133/668,5056/2398

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 7133,5056

Greatest Common Factor of Numerators i.e. GCF of 7133,5056 is 1 .

LCM of Denominators means LCM of 668,2398 as per the given fractions.

LCM of 668,2398 is 800932 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7133,5056

GCF of Fractions 7133/668,5056/2398 is 1/800932

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 7133,5056 By Matching Biggest Common Factor Method

Greatest Common Factor of 7133,5056 By Matching Biggest Common Factor Method

Factors of 7133

List of positive integer factors of 7133 that divides 7133 without a remainder.

1,7,1019,7133

Factors of 5056

List of positive integer factors of 5056 that divides 5056 without a remainder.

1,2,4,8,16,32,64,79,158,316,632,1264,2528,5056

Greatest Common Factor

We found the factors 7133,5056 . The biggest common factor number is the GCF number.
So the greatest common factor 7133,5056 is 1.

Lets's calculate LCM of 668,2398

2 668, 2398
334, 1199

∴ So the LCM of the given numbers is 2 x 334 x 1199 = 800932

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/800932

Therefore, the GCF of Fractions 7133/668,5056/2398 is 1/800932

Least Common Multiple of 668,2398 with GCF Formula

Least Common Multiple of 668,2398 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 668,2398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,2398) = 2

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

GCF(668,2398) x common factors =2 x 1 = 2

LCM(668,2398) = ( 668 × 2398 ) / 2

LCM(668,2398) = 1601864 / 2

LCM(668,2398) = 800932


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 7133/668, 5056/2398

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 7133/668, 5056/2398?

Answer: GCF of Numerators as per given numbers 7133/668, 5056/2398 is

GCF of Numerators i.e. for 7133,5056 is 1

LCM of denominators i.e. for 668,2398 is 800932.

Thus, GCF of Fractions is 1/800932.Finally, GCF of Fractions for 7133/668, 5056/2398 is 1/800932.