Greatest Common Factor of 5737/980, 7561/748

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5737/980, 7561/748

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 5737/980,7561/748

Given fractions are 5737/980,7561/748

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 5737,7561

Greatest Common Factor of Numerators i.e. GCF of 5737,7561 is 1 .

LCM of Denominators means LCM of 980,748 as per the given fractions.

LCM of 980,748 is 183260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5737,7561

GCF of Fractions 5737/980,7561/748 is 1/183260

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

Greatest Common Factor of 5737,7561 By Matching Biggest Common Factor Method

Greatest Common Factor of 5737,7561 By Matching Biggest Common Factor Method

Factors of 5737

List of positive integer factors of 5737 that divides 5737 without a remainder.

1,5737

Factors of 7561

List of positive integer factors of 7561 that divides 7561 without a remainder.

1,7561

Greatest Common Factor

We found the factors 5737,7561 . The biggest common factor number is the GCF number.
So the greatest common factor 5737,7561 is 1.

Lets's calculate LCM of 980,748

2 980, 748
2 490, 374
245, 187

∴ So the LCM of the given numbers is 2 x 2 x 245 x 187 = 183260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/183260

Therefore, the GCF of Fractions 5737/980,7561/748 is 1/183260

Least Common Multiple of 980,748 with GCF Formula

Least Common Multiple of 980,748 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 980,748 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(980,748) = 4

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

GCF(980,748) x common factors =4 x 1 = 4

LCM(980,748) = ( 980 × 748 ) / 4

LCM(980,748) = 733040 / 4

LCM(980,748) = 183260


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 5737/980, 7561/748

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 5737/980, 7561/748?

Answer: GCF of Numerators as per given numbers 5737/980, 7561/748 is

GCF of Numerators i.e. for 5737,7561 is 1

LCM of denominators i.e. for 980,748 is 183260.

Thus, GCF of Fractions is 1/183260.Finally, GCF of Fractions for 5737/980, 7561/748 is 1/183260.