Greatest Common Factor of 891/492, 7139/903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 891/492, 7139/903

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 891/492,7139/903

Given fractions are 891/492,7139/903

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 891,7139

Greatest Common Factor of Numerators i.e. GCF of 891,7139 is 11 .

LCM of Denominators means LCM of 492,903 as per the given fractions.

LCM of 492,903 is 148092 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 891,7139

GCF of Fractions 891/492,7139/903 is 11/148092

11 891, 7139
81, 649

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

Greatest Common Factor of 891,7139 By Matching Biggest Common Factor Method

Greatest Common Factor of 891,7139 By Matching Biggest Common Factor Method

Factors of 891

List of positive integer factors of 891 that divides 891 without a remainder.

1,3,9,11,27,33,81,99,297,891

Factors of 7139

List of positive integer factors of 7139 that divides 7139 without a remainder.

1,11,59,121,649,7139

Greatest Common Factor

We found the factors 891,7139 . The biggest common factor number is the GCF number.
So the greatest common factor 891,7139 is 11.

Lets's calculate LCM of 492,903

3 492, 903
164, 301

∴ So the LCM of the given numbers is 3 x 164 x 301 = 148092

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/148092

Therefore, the GCF of Fractions 891/492,7139/903 is 11/148092

Least Common Multiple of 492,903 with GCF Formula

Least Common Multiple of 492,903 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 492,903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(492,903) = 3

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

GCF(492,903) x common factors =3 x 1 = 3

LCM(492,903) = ( 492 × 903 ) / 3

LCM(492,903) = 444276 / 3

LCM(492,903) = 148092


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 891/492, 7139/903

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 891/492, 7139/903?

Answer: GCF of Numerators as per given numbers 891/492, 7139/903 is

GCF of Numerators i.e. for 891,7139 is 11

LCM of denominators i.e. for 492,903 is 148092.

Thus, GCF of Fractions is 11/148092.Finally, GCF of Fractions for 891/492, 7139/903 is 11/148092.