Greatest Common Factor of 686/354, 7198/522

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/354, 7198/522

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 686/354,7198/522

Given fractions are 686/354,7198/522

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 686,7198

Greatest Common Factor of Numerators i.e. GCF of 686,7198 is 2 .

LCM of Denominators means LCM of 354,522 as per the given fractions.

LCM of 354,522 is 30798 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,7198

GCF of Fractions 686/354,7198/522 is 2/30798

2 686, 7198
343, 3599

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 686,7198 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,7198 By Matching Biggest Common Factor Method

Factors of 686

List of positive integer factors of 686 that divides 686 without a remainder.

1,2,7,14,49,98,343,686

Factors of 7198

List of positive integer factors of 7198 that divides 7198 without a remainder.

1,2,59,61,118,122,3599,7198

Greatest Common Factor

We found the factors 686,7198 . The biggest common factor number is the GCF number.
So the greatest common factor 686,7198 is 2.

Lets's calculate LCM of 354,522

2 354, 522
3 177, 261
59, 87

∴ So the LCM of the given numbers is 2 x 3 x 59 x 87 = 30798

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30798

Therefore, the GCF of Fractions 686/354,7198/522 is 2/30798

Least Common Multiple of 354,522 with GCF Formula

Least Common Multiple of 354,522 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 354,522 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,522) = 6

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

GCF(354,522) x common factors =6 x 1 = 6

LCM(354,522) = ( 354 × 522 ) / 6

LCM(354,522) = 184788 / 6

LCM(354,522) = 30798


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 686/354, 7198/522

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 686/354, 7198/522?

Answer: GCF of Numerators as per given numbers 686/354, 7198/522 is

GCF of Numerators i.e. for 686,7198 is 2

LCM of denominators i.e. for 354,522 is 30798.

Thus, GCF of Fractions is 2/30798.Finally, GCF of Fractions for 686/354, 7198/522 is 2/30798.