Greatest Common Factor of 2709/938, 8725/702

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2709/938, 8725/702

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 2709/938,8725/702

Given fractions are 2709/938,8725/702

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 2709,8725

Greatest Common Factor of Numerators i.e. GCF of 2709,8725 is 1 .

LCM of Denominators means LCM of 938,702 as per the given fractions.

LCM of 938,702 is 329238 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2709,8725

GCF of Fractions 2709/938,8725/702 is 1/329238

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

Greatest Common Factor of 2709,8725 By Matching Biggest Common Factor Method

Greatest Common Factor of 2709,8725 By Matching Biggest Common Factor Method

Factors of 2709

List of positive integer factors of 2709 that divides 2709 without a remainder.

1,3,7,9,21,43,63,129,301,387,903,2709

Factors of 8725

List of positive integer factors of 8725 that divides 8725 without a remainder.

1,5,25,349,1745,8725

Greatest Common Factor

We found the factors 2709,8725 . The biggest common factor number is the GCF number.
So the greatest common factor 2709,8725 is 1.

Lets's calculate LCM of 938,702

2 938, 702
469, 351

∴ So the LCM of the given numbers is 2 x 469 x 351 = 329238

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/329238

Therefore, the GCF of Fractions 2709/938,8725/702 is 1/329238

Least Common Multiple of 938,702 with GCF Formula

Least Common Multiple of 938,702 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 938,702 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,702) = 2

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

GCF(938,702) x common factors =2 x 1 = 2

LCM(938,702) = ( 938 × 702 ) / 2

LCM(938,702) = 658476 / 2

LCM(938,702) = 329238


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 2709/938, 8725/702

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 2709/938, 8725/702?

Answer: GCF of Numerators as per given numbers 2709/938, 8725/702 is

GCF of Numerators i.e. for 2709,8725 is 1

LCM of denominators i.e. for 938,702 is 329238.

Thus, GCF of Fractions is 1/329238.Finally, GCF of Fractions for 2709/938, 8725/702 is 1/329238.