Greatest Common Factor of 357/198, 6420/686

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 357/198, 6420/686

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 357/198,6420/686

Given fractions are 357/198,6420/686

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 357,6420

Greatest Common Factor of Numerators i.e. GCF of 357,6420 is 3 .

LCM of Denominators means LCM of 198,686 as per the given fractions.

LCM of 198,686 is 67914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 357,6420

GCF of Fractions 357/198,6420/686 is 3/67914

3 357, 6420
119, 2140

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 357,6420 By Matching Biggest Common Factor Method

Greatest Common Factor of 357,6420 By Matching Biggest Common Factor Method

Factors of 357

List of positive integer factors of 357 that divides 357 without a remainder.

1,3,7,17,21,51,119,357

Factors of 6420

List of positive integer factors of 6420 that divides 6420 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,107,214,321,428,535,642,1070,1284,1605,2140,3210,6420

Greatest Common Factor

We found the factors 357,6420 . The biggest common factor number is the GCF number.
So the greatest common factor 357,6420 is 3.

Lets's calculate LCM of 198,686

2 198, 686
99, 343

∴ So the LCM of the given numbers is 2 x 99 x 343 = 67914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/67914

Therefore, the GCF of Fractions 357/198,6420/686 is 3/67914

Least Common Multiple of 198,686 with GCF Formula

Least Common Multiple of 198,686 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 198,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,686) = 2

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

GCF(198,686) x common factors =2 x 1 = 2

LCM(198,686) = ( 198 × 686 ) / 2

LCM(198,686) = 135828 / 2

LCM(198,686) = 67914


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 357/198, 6420/686

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 357/198, 6420/686?

Answer: GCF of Numerators as per given numbers 357/198, 6420/686 is

GCF of Numerators i.e. for 357,6420 is 3

LCM of denominators i.e. for 198,686 is 67914.

Thus, GCF of Fractions is 3/67914.Finally, GCF of Fractions for 357/198, 6420/686 is 3/67914.