Greatest Common Factor of 681/192, 9612/1238

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 681/192, 9612/1238

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 681/192,9612/1238

Given fractions are 681/192,9612/1238

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 681,9612

Greatest Common Factor of Numerators i.e. GCF of 681,9612 is 3 .

LCM of Denominators means LCM of 192,1238 as per the given fractions.

LCM of 192,1238 is 118848 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 681,9612

GCF of Fractions 681/192,9612/1238 is 3/118848

3 681, 9612
227, 3204

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

Greatest Common Factor of 681,9612 By Matching Biggest Common Factor Method

Greatest Common Factor of 681,9612 By Matching Biggest Common Factor Method

Factors of 681

List of positive integer factors of 681 that divides 681 without a remainder.

1,3,227,681

Factors of 9612

List of positive integer factors of 9612 that divides 9612 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,89,108,178,267,356,534,801,1068,1602,2403,3204,4806,9612

Greatest Common Factor

We found the factors 681,9612 . The biggest common factor number is the GCF number.
So the greatest common factor 681,9612 is 3.

Lets's calculate LCM of 192,1238

2 192, 1238
96, 619

∴ So the LCM of the given numbers is 2 x 96 x 619 = 118848

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/118848

Therefore, the GCF of Fractions 681/192,9612/1238 is 3/118848

Least Common Multiple of 192,1238 with GCF Formula

Least Common Multiple of 192,1238 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 192,1238 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,1238) = 2

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

GCF(192,1238) x common factors =2 x 1 = 2

LCM(192,1238) = ( 192 × 1238 ) / 2

LCM(192,1238) = 237696 / 2

LCM(192,1238) = 118848


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 681/192, 9612/1238

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 681/192, 9612/1238?

Answer: GCF of Numerators as per given numbers 681/192, 9612/1238 is

GCF of Numerators i.e. for 681,9612 is 3

LCM of denominators i.e. for 192,1238 is 118848.

Thus, GCF of Fractions is 3/118848.Finally, GCF of Fractions for 681/192, 9612/1238 is 3/118848.