Greatest Common Factor of 4313/17, 3591/687

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4313/17, 3591/687

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 4313/17,3591/687

Given fractions are 4313/17,3591/687

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 4313,3591

Greatest Common Factor of Numerators i.e. GCF of 4313,3591 is 19 .

LCM of Denominators means LCM of 17,687 as per the given fractions.

LCM of 17,687 is 11679 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4313,3591

GCF of Fractions 4313/17,3591/687 is 19/11679

19 4313, 3591
227, 189

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 4313,3591 By Matching Biggest Common Factor Method

Greatest Common Factor of 4313,3591 By Matching Biggest Common Factor Method

Factors of 4313

List of positive integer factors of 4313 that divides 4313 without a remainder.

1,19,227,4313

Factors of 3591

List of positive integer factors of 3591 that divides 3591 without a remainder.

1,3,7,9,19,21,27,57,63,133,171,189,399,513,1197,3591

Greatest Common Factor

We found the factors 4313,3591 . The biggest common factor number is the GCF number.
So the greatest common factor 4313,3591 is 19.

Lets's calculate LCM of 17,687

Given numbers has no common factors except 1. So, there LCM is their product i.e 11679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/11679

Therefore, the GCF of Fractions 4313/17,3591/687 is 19/11679

Least Common Multiple of 17,687 with GCF Formula

Least Common Multiple of 17,687 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 17,687 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,687) = 1

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

GCF(17,687) x common factors =1 x 1 = 1

LCM(17,687) = ( 17 × 687 ) / 1

LCM(17,687) = 11679 / 1

LCM(17,687) = 11679


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 4313/17, 3591/687

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 4313/17, 3591/687?

Answer: GCF of Numerators as per given numbers 4313/17, 3591/687 is

GCF of Numerators i.e. for 4313,3591 is 19

LCM of denominators i.e. for 17,687 is 11679.

Thus, GCF of Fractions is 19/11679.Finally, GCF of Fractions for 4313/17, 3591/687 is 19/11679.