Greatest Common Factor of 6417/686, 7790/4874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6417/686, 7790/4874

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 6417/686,7790/4874

Given fractions are 6417/686,7790/4874

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 6417,7790

Greatest Common Factor of Numerators i.e. GCF of 6417,7790 is 1 .

LCM of Denominators means LCM of 686,4874 as per the given fractions.

LCM of 686,4874 is 1671782 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6417,7790

GCF of Fractions 6417/686,7790/4874 is 1/1671782

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

Greatest Common Factor of 6417,7790 By Matching Biggest Common Factor Method

Greatest Common Factor of 6417,7790 By Matching Biggest Common Factor Method

Factors of 6417

List of positive integer factors of 6417 that divides 6417 without a remainder.

1,3,9,23,31,69,93,207,279,713,2139,6417

Factors of 7790

List of positive integer factors of 7790 that divides 7790 without a remainder.

1,2,5,10,19,38,41,82,95,190,205,410,779,1558,3895,7790

Greatest Common Factor

We found the factors 6417,7790 . The biggest common factor number is the GCF number.
So the greatest common factor 6417,7790 is 1.

Lets's calculate LCM of 686,4874

2 686, 4874
343, 2437

∴ So the LCM of the given numbers is 2 x 343 x 2437 = 1671782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1671782

Therefore, the GCF of Fractions 6417/686,7790/4874 is 1/1671782

Least Common Multiple of 686,4874 with GCF Formula

Least Common Multiple of 686,4874 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 686,4874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(686,4874) = 2

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

GCF(686,4874) x common factors =2 x 1 = 2

LCM(686,4874) = ( 686 × 4874 ) / 2

LCM(686,4874) = 3343564 / 2

LCM(686,4874) = 1671782


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 6417/686, 7790/4874

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 6417/686, 7790/4874?

Answer: GCF of Numerators as per given numbers 6417/686, 7790/4874 is

GCF of Numerators i.e. for 6417,7790 is 1

LCM of denominators i.e. for 686,4874 is 1671782.

Thus, GCF of Fractions is 1/1671782.Finally, GCF of Fractions for 6417/686, 7790/4874 is 1/1671782.