Greatest Common Factor of 78/259, 6389/7500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 78/259, 6389/7500

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 78/259,6389/7500

Given fractions are 78/259,6389/7500

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 78,6389

Greatest Common Factor of Numerators i.e. GCF of 78,6389 is 1 .

LCM of Denominators means LCM of 259,7500 as per the given fractions.

LCM of 259,7500 is 1942500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 78,6389

GCF of Fractions 78/259,6389/7500 is 1/1942500

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

Greatest Common Factor of 78,6389 By Matching Biggest Common Factor Method

Greatest Common Factor of 78,6389 By Matching Biggest Common Factor Method

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 6389

List of positive integer factors of 6389 that divides 6389 without a remainder.

1,6389

Greatest Common Factor

We found the factors 78,6389 . The biggest common factor number is the GCF number.
So the greatest common factor 78,6389 is 1.

Lets's calculate LCM of 259,7500

Given numbers has no common factors except 1. So, there LCM is their product i.e 1942500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1942500

Therefore, the GCF of Fractions 78/259,6389/7500 is 1/1942500

Least Common Multiple of 259,7500 with GCF Formula

Least Common Multiple of 259,7500 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 259,7500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,7500) = 1

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

GCF(259,7500) x common factors =1 x 1 = 1

LCM(259,7500) = ( 259 × 7500 ) / 1

LCM(259,7500) = 1942500 / 1

LCM(259,7500) = 1942500


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 78/259, 6389/7500

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 78/259, 6389/7500?

Answer: GCF of Numerators as per given numbers 78/259, 6389/7500 is

GCF of Numerators i.e. for 78,6389 is 1

LCM of denominators i.e. for 259,7500 is 1942500.

Thus, GCF of Fractions is 1/1942500.Finally, GCF of Fractions for 78/259, 6389/7500 is 1/1942500.