Greatest Common Factor of 7814/319, 6895/789

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7814/319, 6895/789

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 7814/319,6895/789

Given fractions are 7814/319,6895/789

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 7814,6895

Greatest Common Factor of Numerators i.e. GCF of 7814,6895 is 1 .

LCM of Denominators means LCM of 319,789 as per the given fractions.

LCM of 319,789 is 251691 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7814,6895

GCF of Fractions 7814/319,6895/789 is 1/251691

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

Greatest Common Factor of 7814,6895 By Matching Biggest Common Factor Method

Greatest Common Factor of 7814,6895 By Matching Biggest Common Factor Method

Factors of 7814

List of positive integer factors of 7814 that divides 7814 without a remainder.

1,2,3907,7814

Factors of 6895

List of positive integer factors of 6895 that divides 6895 without a remainder.

1,5,7,35,197,985,1379,6895

Greatest Common Factor

We found the factors 7814,6895 . The biggest common factor number is the GCF number.
So the greatest common factor 7814,6895 is 1.

Lets's calculate LCM of 319,789

Given numbers has no common factors except 1. So, there LCM is their product i.e 251691

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251691

Therefore, the GCF of Fractions 7814/319,6895/789 is 1/251691

Least Common Multiple of 319,789 with GCF Formula

Least Common Multiple of 319,789 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 319,789 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(319,789) = 1

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

GCF(319,789) x common factors =1 x 1 = 1

LCM(319,789) = ( 319 × 789 ) / 1

LCM(319,789) = 251691 / 1

LCM(319,789) = 251691


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 7814/319, 6895/789

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 7814/319, 6895/789?

Answer: GCF of Numerators as per given numbers 7814/319, 6895/789 is

GCF of Numerators i.e. for 7814,6895 is 1

LCM of denominators i.e. for 319,789 is 251691.

Thus, GCF of Fractions is 1/251691.Finally, GCF of Fractions for 7814/319, 6895/789 is 1/251691.