Greatest Common Factor of 9361/738, 3091/2359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9361/738, 3091/2359

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 9361/738,3091/2359

Given fractions are 9361/738,3091/2359

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 9361,3091

Greatest Common Factor of Numerators i.e. GCF of 9361,3091 is 11 .

LCM of Denominators means LCM of 738,2359 as per the given fractions.

LCM of 738,2359 is 1740942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9361,3091

GCF of Fractions 9361/738,3091/2359 is 11/1740942

11 9361, 3091
851, 281

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

Greatest Common Factor of 9361,3091 By Matching Biggest Common Factor Method

Greatest Common Factor of 9361,3091 By Matching Biggest Common Factor Method

Factors of 9361

List of positive integer factors of 9361 that divides 9361 without a remainder.

1,11,23,37,253,407,851,9361

Factors of 3091

List of positive integer factors of 3091 that divides 3091 without a remainder.

1,11,281,3091

Greatest Common Factor

We found the factors 9361,3091 . The biggest common factor number is the GCF number.
So the greatest common factor 9361,3091 is 11.

Lets's calculate LCM of 738,2359

Given numbers has no common factors except 1. So, there LCM is their product i.e 1740942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/1740942

Therefore, the GCF of Fractions 9361/738,3091/2359 is 11/1740942

Least Common Multiple of 738,2359 with GCF Formula

Least Common Multiple of 738,2359 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 738,2359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(738,2359) = 1

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

GCF(738,2359) x common factors =1 x 1 = 1

LCM(738,2359) = ( 738 × 2359 ) / 1

LCM(738,2359) = 1740942 / 1

LCM(738,2359) = 1740942


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 9361/738, 3091/2359

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 9361/738, 3091/2359?

Answer: GCF of Numerators as per given numbers 9361/738, 3091/2359 is

GCF of Numerators i.e. for 9361,3091 is 11

LCM of denominators i.e. for 738,2359 is 1740942.

Thus, GCF of Fractions is 11/1740942.Finally, GCF of Fractions for 9361/738, 3091/2359 is 11/1740942.