Greatest Common Factor of 7878/63, 5291/130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7878/63, 5291/130

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 7878/63,5291/130

Given fractions are 7878/63,5291/130

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 7878,5291

Greatest Common Factor of Numerators i.e. GCF of 7878,5291 is 13 .

LCM of Denominators means LCM of 63,130 as per the given fractions.

LCM of 63,130 is 8190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7878,5291

GCF of Fractions 7878/63,5291/130 is 13/8190

13 7878, 5291
606, 407

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 7878,5291 By Matching Biggest Common Factor Method

Greatest Common Factor of 7878,5291 By Matching Biggest Common Factor Method

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

Factors of 5291

List of positive integer factors of 5291 that divides 5291 without a remainder.

1,11,13,37,143,407,481,5291

Greatest Common Factor

We found the factors 7878,5291 . The biggest common factor number is the GCF number.
So the greatest common factor 7878,5291 is 13.

Lets's calculate LCM of 63,130

Given numbers has no common factors except 1. So, there LCM is their product i.e 8190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/8190

Therefore, the GCF of Fractions 7878/63,5291/130 is 13/8190

Least Common Multiple of 63,130 with GCF Formula

Least Common Multiple of 63,130 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 63,130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(63,130) = 1

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

GCF(63,130) x common factors =1 x 1 = 1

LCM(63,130) = ( 63 × 130 ) / 1

LCM(63,130) = 8190 / 1

LCM(63,130) = 8190


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 7878/63, 5291/130

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 7878/63, 5291/130?

Answer: GCF of Numerators as per given numbers 7878/63, 5291/130 is

GCF of Numerators i.e. for 7878,5291 is 13

LCM of denominators i.e. for 63,130 is 8190.

Thus, GCF of Fractions is 13/8190.Finally, GCF of Fractions for 7878/63, 5291/130 is 13/8190.