Greatest Common Factor of 7371/935, 4355/2261

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7371/935, 4355/2261

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 7371/935,4355/2261

Given fractions are 7371/935,4355/2261

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 7371,4355

Greatest Common Factor of Numerators i.e. GCF of 7371,4355 is 13 .

LCM of Denominators means LCM of 935,2261 as per the given fractions.

LCM of 935,2261 is 124355 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7371,4355

GCF of Fractions 7371/935,4355/2261 is 13/124355

13 7371, 4355
567, 335

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7371,4355 By Matching Biggest Common Factor Method

Greatest Common Factor of 7371,4355 By Matching Biggest Common Factor Method

Factors of 7371

List of positive integer factors of 7371 that divides 7371 without a remainder.

1,3,7,9,13,21,27,39,63,81,91,117,189,273,351,567,819,1053,2457,7371

Factors of 4355

List of positive integer factors of 4355 that divides 4355 without a remainder.

1,5,13,65,67,335,871,4355

Greatest Common Factor

We found the factors 7371,4355 . The biggest common factor number is the GCF number.
So the greatest common factor 7371,4355 is 13.

Lets's calculate LCM of 935,2261

17 935, 2261
55, 133

∴ So the LCM of the given numbers is 17 x 55 x 133 = 124355

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/124355

Therefore, the GCF of Fractions 7371/935,4355/2261 is 13/124355

Least Common Multiple of 935,2261 with GCF Formula

Least Common Multiple of 935,2261 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 935,2261 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(935,2261) = 17

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

GCF(935,2261) x common factors =17 x 1 = 17

LCM(935,2261) = ( 935 × 2261 ) / 17

LCM(935,2261) = 2114035 / 17

LCM(935,2261) = 124355


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 7371/935, 4355/2261

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 7371/935, 4355/2261?

Answer: GCF of Numerators as per given numbers 7371/935, 4355/2261 is

GCF of Numerators i.e. for 7371,4355 is 13

LCM of denominators i.e. for 935,2261 is 124355.

Thus, GCF of Fractions is 13/124355.Finally, GCF of Fractions for 7371/935, 4355/2261 is 13/124355.