Greatest Common Factor of 8078/788, 7900/9652

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8078/788, 7900/9652

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 8078/788,7900/9652

Given fractions are 8078/788,7900/9652

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 8078,7900

Greatest Common Factor of Numerators i.e. GCF of 8078,7900 is 2 .

LCM of Denominators means LCM of 788,9652 as per the given fractions.

LCM of 788,9652 is 1901444 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8078,7900

GCF of Fractions 8078/788,7900/9652 is 2/1901444

2 8078, 7900
4039, 3950

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8078,7900 By Matching Biggest Common Factor Method

Greatest Common Factor of 8078,7900 By Matching Biggest Common Factor Method

Factors of 8078

List of positive integer factors of 8078 that divides 8078 without a remainder.

1,2,7,14,577,1154,4039,8078

Factors of 7900

List of positive integer factors of 7900 that divides 7900 without a remainder.

1,2,4,5,10,20,25,50,79,100,158,316,395,790,1580,1975,3950,7900

Greatest Common Factor

We found the factors 8078,7900 . The biggest common factor number is the GCF number.
So the greatest common factor 8078,7900 is 2.

Lets's calculate LCM of 788,9652

2 788, 9652
2 394, 4826
197, 2413

∴ So the LCM of the given numbers is 2 x 2 x 197 x 2413 = 1901444

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1901444

Therefore, the GCF of Fractions 8078/788,7900/9652 is 2/1901444

Least Common Multiple of 788,9652 with GCF Formula

Least Common Multiple of 788,9652 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 788,9652 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(788,9652) = 4

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

GCF(788,9652) x common factors =4 x 1 = 4

LCM(788,9652) = ( 788 × 9652 ) / 4

LCM(788,9652) = 7605776 / 4

LCM(788,9652) = 1901444


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 8078/788, 7900/9652

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 8078/788, 7900/9652?

Answer: GCF of Numerators as per given numbers 8078/788, 7900/9652 is

GCF of Numerators i.e. for 8078,7900 is 2

LCM of denominators i.e. for 788,9652 is 1901444.

Thus, GCF of Fractions is 2/1901444.Finally, GCF of Fractions for 8078/788, 7900/9652 is 2/1901444.