Greatest Common Factor of 5081/178, 6928/7974

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5081/178, 6928/7974

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 5081/178,6928/7974

Given fractions are 5081/178,6928/7974

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 5081,6928

Greatest Common Factor of Numerators i.e. GCF of 5081,6928 is 1 .

LCM of Denominators means LCM of 178,7974 as per the given fractions.

LCM of 178,7974 is 709686 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5081,6928

GCF of Fractions 5081/178,6928/7974 is 1/709686

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

Greatest Common Factor of 5081,6928 By Matching Biggest Common Factor Method

Greatest Common Factor of 5081,6928 By Matching Biggest Common Factor Method

Factors of 5081

List of positive integer factors of 5081 that divides 5081 without a remainder.

1,5081

Factors of 6928

List of positive integer factors of 6928 that divides 6928 without a remainder.

1,2,4,8,16,433,866,1732,3464,6928

Greatest Common Factor

We found the factors 5081,6928 . The biggest common factor number is the GCF number.
So the greatest common factor 5081,6928 is 1.

Lets's calculate LCM of 178,7974

2 178, 7974
89, 3987

∴ So the LCM of the given numbers is 2 x 89 x 3987 = 709686

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/709686

Therefore, the GCF of Fractions 5081/178,6928/7974 is 1/709686

Least Common Multiple of 178,7974 with GCF Formula

Least Common Multiple of 178,7974 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 178,7974 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(178,7974) = 2

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

GCF(178,7974) x common factors =2 x 1 = 2

LCM(178,7974) = ( 178 × 7974 ) / 2

LCM(178,7974) = 1419372 / 2

LCM(178,7974) = 709686


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 5081/178, 6928/7974

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 5081/178, 6928/7974?

Answer: GCF of Numerators as per given numbers 5081/178, 6928/7974 is

GCF of Numerators i.e. for 5081,6928 is 1

LCM of denominators i.e. for 178,7974 is 709686.

Thus, GCF of Fractions is 1/709686.Finally, GCF of Fractions for 5081/178, 6928/7974 is 1/709686.