Greatest Common Factor of 8127/748, 8974/788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8127/748, 8974/788

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 8127/748,8974/788

Given fractions are 8127/748,8974/788

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 8127,8974

Greatest Common Factor of Numerators i.e. GCF of 8127,8974 is 7 .

LCM of Denominators means LCM of 748,788 as per the given fractions.

LCM of 748,788 is 147356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8127,8974

GCF of Fractions 8127/748,8974/788 is 7/147356

7 8127, 8974
1161, 1282

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 8127,8974 By Matching Biggest Common Factor Method

Greatest Common Factor of 8127,8974 By Matching Biggest Common Factor Method

Factors of 8127

List of positive integer factors of 8127 that divides 8127 without a remainder.

1,3,7,9,21,27,43,63,129,189,301,387,903,1161,2709,8127

Factors of 8974

List of positive integer factors of 8974 that divides 8974 without a remainder.

1,2,7,14,641,1282,4487,8974

Greatest Common Factor

We found the factors 8127,8974 . The biggest common factor number is the GCF number.
So the greatest common factor 8127,8974 is 7.

Lets's calculate LCM of 748,788

2 748, 788
2 374, 394
187, 197

∴ So the LCM of the given numbers is 2 x 2 x 187 x 197 = 147356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/147356

Therefore, the GCF of Fractions 8127/748,8974/788 is 7/147356

Least Common Multiple of 748,788 with GCF Formula

Least Common Multiple of 748,788 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 748,788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(748,788) = 4

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

GCF(748,788) x common factors =4 x 1 = 4

LCM(748,788) = ( 748 × 788 ) / 4

LCM(748,788) = 589424 / 4

LCM(748,788) = 147356


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 8127/748, 8974/788

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 8127/748, 8974/788?

Answer: GCF of Numerators as per given numbers 8127/748, 8974/788 is

GCF of Numerators i.e. for 8127,8974 is 7

LCM of denominators i.e. for 748,788 is 147356.

Thus, GCF of Fractions is 7/147356.Finally, GCF of Fractions for 8127/748, 8974/788 is 7/147356.