Greatest Common Factor of 717/343, 709/854, 309/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 717/343, 709/854, 309/683

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 717/343,709/854,309/683

Given fractions are 717/343,709/854,309/683

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 717,709,309

Greatest Common Factor of Numerators i.e. GCF of 717,709,309 is 1 .

LCM of Denominators means LCM of 343,854,683 as per the given fractions.

LCM of 343,854,683 is 28580818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 717,709,309

GCF of Fractions 717/343,709/854,309/683 is 1/28580818

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

Greatest Common Factor of 717,709,309 By Matching Biggest Common Factor Method

Greatest Common Factor of 717,709,309 By Matching Biggest Common Factor Method

Factors of 717

List of positive integer factors of 717 that divides 717 without a remainder.

1,3,239,717

Factors of 709

List of positive integer factors of 709 that divides 709 without a remainder.

1,709

Factors of 309

List of positive integer factors of 309 that divides 309 without a remainder.

1,3,103,309

Greatest Common Factor

We found the factors 717,709,309 . The biggest common factor number is the GCF number.
So the greatest common factor 717,709,309 is 1.

Lets's calculate LCM of 343,854,683

7 343, 854, 683
49, 122, 683

∴ So the LCM of the given numbers is 7 x 49 x 122 x 683 = 28580818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28580818

Therefore, the GCF of Fractions 717/343,709/854,309/683 is 1/28580818

Least Common Multiple of 343,854,683 with GCF Formula

Least Common Multiple of 343,854,683 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 343,854,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(343,854,683) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(343,854,683) x common factors =1 x 7 = 7

LCM(343,854,683) = ( 343 × 854 × 683 ) / 7

LCM(343,854,683) = 200065726 / 7

LCM(343,854,683) = 28580818


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 717/343, 709/854, 309/683

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 717/343, 709/854, 309/683?

Answer: GCF of Numerators as per given numbers 717/343, 709/854, 309/683 is

GCF of Numerators i.e. for 717,709,309 is 1

LCM of denominators i.e. for 343,854,683 is 28580818.

Thus, GCF of Fractions is 1/28580818.Finally, GCF of Fractions for 717/343, 709/854, 309/683 is 1/28580818.