Greatest Common Factor of 754/887, 7878/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 754/887, 7878/161

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 754/887,7878/161

Given fractions are 754/887,7878/161

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 754,7878

Greatest Common Factor of Numerators i.e. GCF of 754,7878 is 26 .

LCM of Denominators means LCM of 887,161 as per the given fractions.

LCM of 887,161 is 142807 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 754,7878

GCF of Fractions 754/887,7878/161 is 26/142807

2 754, 7878
13 377, 3939
29, 303

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 754,7878 By Matching Biggest Common Factor Method

Greatest Common Factor of 754,7878 By Matching Biggest Common Factor Method

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 7878

List of positive integer factors of 7878 that divides 7878 without a remainder.

1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878

Greatest Common Factor

We found the factors 754,7878 . The biggest common factor number is the GCF number.
So the greatest common factor 754,7878 is 26.

Lets's calculate LCM of 887,161

Given numbers has no common factors except 1. So, there LCM is their product i.e 142807

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/142807

Therefore, the GCF of Fractions 754/887,7878/161 is 26/142807

Least Common Multiple of 887,161 with GCF Formula

Least Common Multiple of 887,161 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 887,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(887,161) = 1

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

GCF(887,161) x common factors =1 x 1 = 1

LCM(887,161) = ( 887 × 161 ) / 1

LCM(887,161) = 142807 / 1

LCM(887,161) = 142807


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 754/887, 7878/161

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 754/887, 7878/161?

Answer: GCF of Numerators as per given numbers 754/887, 7878/161 is

GCF of Numerators i.e. for 754,7878 is 26

LCM of denominators i.e. for 887,161 is 142807.

Thus, GCF of Fractions is 26/142807.Finally, GCF of Fractions for 754/887, 7878/161 is 26/142807.