Greatest Common Factor of 9252/136, 5786/391

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9252/136, 5786/391

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 9252/136,5786/391

Given fractions are 9252/136,5786/391

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 9252,5786

Greatest Common Factor of Numerators i.e. GCF of 9252,5786 is 2 .

LCM of Denominators means LCM of 136,391 as per the given fractions.

LCM of 136,391 is 3128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9252,5786

GCF of Fractions 9252/136,5786/391 is 2/3128

2 9252, 5786
4626, 2893

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 9252,5786 By Matching Biggest Common Factor Method

Greatest Common Factor of 9252,5786 By Matching Biggest Common Factor Method

Factors of 9252

List of positive integer factors of 9252 that divides 9252 without a remainder.

1,2,3,4,6,9,12,18,36,257,514,771,1028,1542,2313,3084,4626,9252

Factors of 5786

List of positive integer factors of 5786 that divides 5786 without a remainder.

1,2,11,22,263,526,2893,5786

Greatest Common Factor

We found the factors 9252,5786 . The biggest common factor number is the GCF number.
So the greatest common factor 9252,5786 is 2.

Lets's calculate LCM of 136,391

17 136, 391
8, 23

∴ So the LCM of the given numbers is 17 x 8 x 23 = 3128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/3128

Therefore, the GCF of Fractions 9252/136,5786/391 is 2/3128

Least Common Multiple of 136,391 with GCF Formula

Least Common Multiple of 136,391 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 136,391 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(136,391) = 17

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

GCF(136,391) x common factors =17 x 1 = 17

LCM(136,391) = ( 136 × 391 ) / 17

LCM(136,391) = 53176 / 17

LCM(136,391) = 3128


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 9252/136, 5786/391

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 9252/136, 5786/391?

Answer: GCF of Numerators as per given numbers 9252/136, 5786/391 is

GCF of Numerators i.e. for 9252,5786 is 2

LCM of denominators i.e. for 136,391 is 3128.

Thus, GCF of Fractions is 2/3128.Finally, GCF of Fractions for 9252/136, 5786/391 is 2/3128.