Greatest Common Factor of 9339/740, 8173/2570

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9339/740, 8173/2570

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 9339/740,8173/2570

Given fractions are 9339/740,8173/2570

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 9339,8173

Greatest Common Factor of Numerators i.e. GCF of 9339,8173 is 11 .

LCM of Denominators means LCM of 740,2570 as per the given fractions.

LCM of 740,2570 is 190180 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9339,8173

GCF of Fractions 9339/740,8173/2570 is 11/190180

11 9339, 8173
849, 743

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9339,8173 By Matching Biggest Common Factor Method

Greatest Common Factor of 9339,8173 By Matching Biggest Common Factor Method

Factors of 9339

List of positive integer factors of 9339 that divides 9339 without a remainder.

1,3,11,33,283,849,3113,9339

Factors of 8173

List of positive integer factors of 8173 that divides 8173 without a remainder.

1,11,743,8173

Greatest Common Factor

We found the factors 9339,8173 . The biggest common factor number is the GCF number.
So the greatest common factor 9339,8173 is 11.

Lets's calculate LCM of 740,2570

2 740, 2570
5 370, 1285
74, 257

∴ So the LCM of the given numbers is 2 x 5 x 74 x 257 = 190180

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/190180

Therefore, the GCF of Fractions 9339/740,8173/2570 is 11/190180

Least Common Multiple of 740,2570 with GCF Formula

Least Common Multiple of 740,2570 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 740,2570 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(740,2570) = 10

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

GCF(740,2570) x common factors =10 x 1 = 10

LCM(740,2570) = ( 740 × 2570 ) / 10

LCM(740,2570) = 1901800 / 10

LCM(740,2570) = 190180


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 9339/740, 8173/2570

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 9339/740, 8173/2570?

Answer: GCF of Numerators as per given numbers 9339/740, 8173/2570 is

GCF of Numerators i.e. for 9339,8173 is 11

LCM of denominators i.e. for 740,2570 is 190180.

Thus, GCF of Fractions is 11/190180.Finally, GCF of Fractions for 9339/740, 8173/2570 is 11/190180.