Greatest Common Factor of 9937/89, 8791/204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9937/89, 8791/204

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 9937/89,8791/204

Given fractions are 9937/89,8791/204

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 9937,8791

Greatest Common Factor of Numerators i.e. GCF of 9937,8791 is 1 .

LCM of Denominators means LCM of 89,204 as per the given fractions.

LCM of 89,204 is 18156 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9937,8791

GCF of Fractions 9937/89,8791/204 is 1/18156

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

Greatest Common Factor of 9937,8791 By Matching Biggest Common Factor Method

Greatest Common Factor of 9937,8791 By Matching Biggest Common Factor Method

Factors of 9937

List of positive integer factors of 9937 that divides 9937 without a remainder.

1,19,523,9937

Factors of 8791

List of positive integer factors of 8791 that divides 8791 without a remainder.

1,59,149,8791

Greatest Common Factor

We found the factors 9937,8791 . The biggest common factor number is the GCF number.
So the greatest common factor 9937,8791 is 1.

Lets's calculate LCM of 89,204

Given numbers has no common factors except 1. So, there LCM is their product i.e 18156

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/18156

Therefore, the GCF of Fractions 9937/89,8791/204 is 1/18156

Least Common Multiple of 89,204 with GCF Formula

Least Common Multiple of 89,204 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 89,204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,204) = 1

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

GCF(89,204) x common factors =1 x 1 = 1

LCM(89,204) = ( 89 × 204 ) / 1

LCM(89,204) = 18156 / 1

LCM(89,204) = 18156


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 9937/89, 8791/204

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 9937/89, 8791/204?

Answer: GCF of Numerators as per given numbers 9937/89, 8791/204 is

GCF of Numerators i.e. for 9937,8791 is 1

LCM of denominators i.e. for 89,204 is 18156.

Thus, GCF of Fractions is 1/18156.Finally, GCF of Fractions for 9937/89, 8791/204 is 1/18156.