Greatest Common Factor of 6897/86, 1319/359

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6897/86, 1319/359

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 6897/86,1319/359

Given fractions are 6897/86,1319/359

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 6897,1319

Greatest Common Factor of Numerators i.e. GCF of 6897,1319 is 1 .

LCM of Denominators means LCM of 86,359 as per the given fractions.

LCM of 86,359 is 30874 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6897,1319

GCF of Fractions 6897/86,1319/359 is 1/30874

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

Greatest Common Factor of 6897,1319 By Matching Biggest Common Factor Method

Greatest Common Factor of 6897,1319 By Matching Biggest Common Factor Method

Factors of 6897

List of positive integer factors of 6897 that divides 6897 without a remainder.

1,3,11,19,33,57,121,209,363,627,2299,6897

Factors of 1319

List of positive integer factors of 1319 that divides 1319 without a remainder.

1,1319

Greatest Common Factor

We found the factors 6897,1319 . The biggest common factor number is the GCF number.
So the greatest common factor 6897,1319 is 1.

Lets's calculate LCM of 86,359

Given numbers has no common factors except 1. So, there LCM is their product i.e 30874

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30874

Therefore, the GCF of Fractions 6897/86,1319/359 is 1/30874

Least Common Multiple of 86,359 with GCF Formula

Least Common Multiple of 86,359 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 86,359 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(86,359) = 1

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

GCF(86,359) x common factors =1 x 1 = 1

LCM(86,359) = ( 86 × 359 ) / 1

LCM(86,359) = 30874 / 1

LCM(86,359) = 30874


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 6897/86, 1319/359

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 6897/86, 1319/359?

Answer: GCF of Numerators as per given numbers 6897/86, 1319/359 is

GCF of Numerators i.e. for 6897,1319 is 1

LCM of denominators i.e. for 86,359 is 30874.

Thus, GCF of Fractions is 1/30874.Finally, GCF of Fractions for 6897/86, 1319/359 is 1/30874.