Greatest Common Factor of 6635/574, 9847/698

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6635/574, 9847/698

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 6635/574,9847/698

Given fractions are 6635/574,9847/698

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 6635,9847

Greatest Common Factor of Numerators i.e. GCF of 6635,9847 is 1 .

LCM of Denominators means LCM of 574,698 as per the given fractions.

LCM of 574,698 is 200326 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6635,9847

GCF of Fractions 6635/574,9847/698 is 1/200326

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

Greatest Common Factor of 6635,9847 By Matching Biggest Common Factor Method

Greatest Common Factor of 6635,9847 By Matching Biggest Common Factor Method

Factors of 6635

List of positive integer factors of 6635 that divides 6635 without a remainder.

1,5,1327,6635

Factors of 9847

List of positive integer factors of 9847 that divides 9847 without a remainder.

1,43,229,9847

Greatest Common Factor

We found the factors 6635,9847 . The biggest common factor number is the GCF number.
So the greatest common factor 6635,9847 is 1.

Lets's calculate LCM of 574,698

2 574, 698
287, 349

∴ So the LCM of the given numbers is 2 x 287 x 349 = 200326

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/200326

Therefore, the GCF of Fractions 6635/574,9847/698 is 1/200326

Least Common Multiple of 574,698 with GCF Formula

Least Common Multiple of 574,698 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 574,698 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,698) = 2

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

GCF(574,698) x common factors =2 x 1 = 2

LCM(574,698) = ( 574 × 698 ) / 2

LCM(574,698) = 400652 / 2

LCM(574,698) = 200326


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 6635/574, 9847/698

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 6635/574, 9847/698?

Answer: GCF of Numerators as per given numbers 6635/574, 9847/698 is

GCF of Numerators i.e. for 6635,9847 is 1

LCM of denominators i.e. for 574,698 is 200326.

Thus, GCF of Fractions is 1/200326.Finally, GCF of Fractions for 6635/574, 9847/698 is 1/200326.