Greatest Common Factor of 8998/874, 4191/9137

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8998/874, 4191/9137

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 8998/874,4191/9137

Given fractions are 8998/874,4191/9137

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 8998,4191

Greatest Common Factor of Numerators i.e. GCF of 8998,4191 is 11 .

LCM of Denominators means LCM of 874,9137 as per the given fractions.

LCM of 874,9137 is 7985738 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8998,4191

GCF of Fractions 8998/874,4191/9137 is 11/7985738

11 8998, 4191
818, 381

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

Greatest Common Factor of 8998,4191 By Matching Biggest Common Factor Method

Greatest Common Factor of 8998,4191 By Matching Biggest Common Factor Method

Factors of 8998

List of positive integer factors of 8998 that divides 8998 without a remainder.

1,2,11,22,409,818,4499,8998

Factors of 4191

List of positive integer factors of 4191 that divides 4191 without a remainder.

1,3,11,33,127,381,1397,4191

Greatest Common Factor

We found the factors 8998,4191 . The biggest common factor number is the GCF number.
So the greatest common factor 8998,4191 is 11.

Lets's calculate LCM of 874,9137

Given numbers has no common factors except 1. So, there LCM is their product i.e 7985738

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7985738

Therefore, the GCF of Fractions 8998/874,4191/9137 is 11/7985738

Least Common Multiple of 874,9137 with GCF Formula

Least Common Multiple of 874,9137 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 874,9137 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,9137) = 1

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

GCF(874,9137) x common factors =1 x 1 = 1

LCM(874,9137) = ( 874 × 9137 ) / 1

LCM(874,9137) = 7985738 / 1

LCM(874,9137) = 7985738


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 8998/874, 4191/9137

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 8998/874, 4191/9137?

Answer: GCF of Numerators as per given numbers 8998/874, 4191/9137 is

GCF of Numerators i.e. for 8998,4191 is 11

LCM of denominators i.e. for 874,9137 is 7985738.

Thus, GCF of Fractions is 11/7985738.Finally, GCF of Fractions for 8998/874, 4191/9137 is 11/7985738.