Greatest Common Factor of 3492/808, 7676/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3492/808, 7676/118

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 3492/808,7676/118

Given fractions are 3492/808,7676/118

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 3492,7676

Greatest Common Factor of Numerators i.e. GCF of 3492,7676 is 4 .

LCM of Denominators means LCM of 808,118 as per the given fractions.

LCM of 808,118 is 47672 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3492,7676

GCF of Fractions 3492/808,7676/118 is 4/47672

2 3492, 7676
2 1746, 3838
873, 1919

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 3492,7676 By Matching Biggest Common Factor Method

Greatest Common Factor of 3492,7676 By Matching Biggest Common Factor Method

Factors of 3492

List of positive integer factors of 3492 that divides 3492 without a remainder.

1,2,3,4,6,9,12,18,36,97,194,291,388,582,873,1164,1746,3492

Factors of 7676

List of positive integer factors of 7676 that divides 7676 without a remainder.

1,2,4,19,38,76,101,202,404,1919,3838,7676

Greatest Common Factor

We found the factors 3492,7676 . The biggest common factor number is the GCF number.
So the greatest common factor 3492,7676 is 4.

Lets's calculate LCM of 808,118

2 808, 118
404, 59

∴ So the LCM of the given numbers is 2 x 404 x 59 = 47672

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/47672

Therefore, the GCF of Fractions 3492/808,7676/118 is 4/47672

Least Common Multiple of 808,118 with GCF Formula

Least Common Multiple of 808,118 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 808,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(808,118) = 2

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

GCF(808,118) x common factors =2 x 1 = 2

LCM(808,118) = ( 808 × 118 ) / 2

LCM(808,118) = 95344 / 2

LCM(808,118) = 47672


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 3492/808, 7676/118

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 3492/808, 7676/118?

Answer: GCF of Numerators as per given numbers 3492/808, 7676/118 is

GCF of Numerators i.e. for 3492,7676 is 4

LCM of denominators i.e. for 808,118 is 47672.

Thus, GCF of Fractions is 4/47672.Finally, GCF of Fractions for 3492/808, 7676/118 is 4/47672.