Greatest Common Factor of 8735/698, 2409/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8735/698, 2409/638

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 8735/698,2409/638

Given fractions are 8735/698,2409/638

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 8735,2409

Greatest Common Factor of Numerators i.e. GCF of 8735,2409 is 1 .

LCM of Denominators means LCM of 698,638 as per the given fractions.

LCM of 698,638 is 222662 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8735,2409

GCF of Fractions 8735/698,2409/638 is 1/222662

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

Greatest Common Factor of 8735,2409 By Matching Biggest Common Factor Method

Greatest Common Factor of 8735,2409 By Matching Biggest Common Factor Method

Factors of 8735

List of positive integer factors of 8735 that divides 8735 without a remainder.

1,5,1747,8735

Factors of 2409

List of positive integer factors of 2409 that divides 2409 without a remainder.

1,3,11,33,73,219,803,2409

Greatest Common Factor

We found the factors 8735,2409 . The biggest common factor number is the GCF number.
So the greatest common factor 8735,2409 is 1.

Lets's calculate LCM of 698,638

2 698, 638
349, 319

∴ So the LCM of the given numbers is 2 x 349 x 319 = 222662

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/222662

Therefore, the GCF of Fractions 8735/698,2409/638 is 1/222662

Least Common Multiple of 698,638 with GCF Formula

Least Common Multiple of 698,638 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 698,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(698,638) = 2

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

GCF(698,638) x common factors =2 x 1 = 2

LCM(698,638) = ( 698 × 638 ) / 2

LCM(698,638) = 445324 / 2

LCM(698,638) = 222662


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 8735/698, 2409/638

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 8735/698, 2409/638?

Answer: GCF of Numerators as per given numbers 8735/698, 2409/638 is

GCF of Numerators i.e. for 8735,2409 is 1

LCM of denominators i.e. for 698,638 is 222662.

Thus, GCF of Fractions is 1/222662.Finally, GCF of Fractions for 8735/698, 2409/638 is 1/222662.