Greatest Common Factor of 686/198, 6961/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 686/198, 6961/648

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 686/198,6961/648

Given fractions are 686/198,6961/648

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 686,6961

Greatest Common Factor of Numerators i.e. GCF of 686,6961 is 1 .

LCM of Denominators means LCM of 198,648 as per the given fractions.

LCM of 198,648 is 7128 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 686,6961

GCF of Fractions 686/198,6961/648 is 1/7128

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

Greatest Common Factor of 686,6961 By Matching Biggest Common Factor Method

Greatest Common Factor of 686,6961 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 6961

List of positive integer factors of 6961 that divides 6961 without a remainder.

1,6961

Greatest Common Factor

We found the factors 686,6961 . The biggest common factor number is the GCF number.
So the greatest common factor 686,6961 is 1.

Lets's calculate LCM of 198,648

2 198, 648
3 99, 324
3 33, 108
11, 36

∴ So the LCM of the given numbers is 2 x 3 x 3 x 11 x 36 = 7128

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7128

Therefore, the GCF of Fractions 686/198,6961/648 is 1/7128

Least Common Multiple of 198,648 with GCF Formula

Least Common Multiple of 198,648 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 198,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(198,648) = 18

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

GCF(198,648) x common factors =18 x 1 = 18

LCM(198,648) = ( 198 × 648 ) / 18

LCM(198,648) = 128304 / 18

LCM(198,648) = 7128


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 686/198, 6961/648

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 686/198, 6961/648?

Answer: GCF of Numerators as per given numbers 686/198, 6961/648 is

GCF of Numerators i.e. for 686,6961 is 1

LCM of denominators i.e. for 198,648 is 7128.

Thus, GCF of Fractions is 1/7128.Finally, GCF of Fractions for 686/198, 6961/648 is 1/7128.