Greatest Common Factor of 2717/588, 8349/774

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2717/588, 8349/774

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 2717/588,8349/774

Given fractions are 2717/588,8349/774

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 2717,8349

Greatest Common Factor of Numerators i.e. GCF of 2717,8349 is 11 .

LCM of Denominators means LCM of 588,774 as per the given fractions.

LCM of 588,774 is 75852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2717,8349

GCF of Fractions 2717/588,8349/774 is 11/75852

11 2717, 8349
247, 759

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 2717,8349 By Matching Biggest Common Factor Method

Greatest Common Factor of 2717,8349 By Matching Biggest Common Factor Method

Factors of 2717

List of positive integer factors of 2717 that divides 2717 without a remainder.

1,11,13,19,143,209,247,2717

Factors of 8349

List of positive integer factors of 8349 that divides 8349 without a remainder.

1,3,11,23,33,69,121,253,363,759,2783,8349

Greatest Common Factor

We found the factors 2717,8349 . The biggest common factor number is the GCF number.
So the greatest common factor 2717,8349 is 11.

Lets's calculate LCM of 588,774

2 588, 774
3 294, 387
98, 129

∴ So the LCM of the given numbers is 2 x 3 x 98 x 129 = 75852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/75852

Therefore, the GCF of Fractions 2717/588,8349/774 is 11/75852

Least Common Multiple of 588,774 with GCF Formula

Least Common Multiple of 588,774 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 588,774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(588,774) = 6

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

GCF(588,774) x common factors =6 x 1 = 6

LCM(588,774) = ( 588 × 774 ) / 6

LCM(588,774) = 455112 / 6

LCM(588,774) = 75852


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 2717/588, 8349/774

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 2717/588, 8349/774?

Answer: GCF of Numerators as per given numbers 2717/588, 8349/774 is

GCF of Numerators i.e. for 2717,8349 is 11

LCM of denominators i.e. for 588,774 is 75852.

Thus, GCF of Fractions is 11/75852.Finally, GCF of Fractions for 2717/588, 8349/774 is 11/75852.