Greatest Common Factor of 7332/95, 3922/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7332/95, 3922/198

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 7332/95,3922/198

Given fractions are 7332/95,3922/198

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 7332,3922

Greatest Common Factor of Numerators i.e. GCF of 7332,3922 is 2 .

LCM of Denominators means LCM of 95,198 as per the given fractions.

LCM of 95,198 is 18810 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7332,3922

GCF of Fractions 7332/95,3922/198 is 2/18810

2 7332, 3922
3666, 1961

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

Greatest Common Factor of 7332,3922 By Matching Biggest Common Factor Method

Greatest Common Factor of 7332,3922 By Matching Biggest Common Factor Method

Factors of 7332

List of positive integer factors of 7332 that divides 7332 without a remainder.

1,2,3,4,6,12,13,26,39,47,52,78,94,141,156,188,282,564,611,1222,1833,2444,3666,7332

Factors of 3922

List of positive integer factors of 3922 that divides 3922 without a remainder.

1,2,37,53,74,106,1961,3922

Greatest Common Factor

We found the factors 7332,3922 . The biggest common factor number is the GCF number.
So the greatest common factor 7332,3922 is 2.

Lets's calculate LCM of 95,198

Given numbers has no common factors except 1. So, there LCM is their product i.e 18810

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/18810

Therefore, the GCF of Fractions 7332/95,3922/198 is 2/18810

Least Common Multiple of 95,198 with GCF Formula

Least Common Multiple of 95,198 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 95,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,198) = 1

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

GCF(95,198) x common factors =1 x 1 = 1

LCM(95,198) = ( 95 × 198 ) / 1

LCM(95,198) = 18810 / 1

LCM(95,198) = 18810


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 7332/95, 3922/198

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 7332/95, 3922/198?

Answer: GCF of Numerators as per given numbers 7332/95, 3922/198 is

GCF of Numerators i.e. for 7332,3922 is 2

LCM of denominators i.e. for 95,198 is 18810.

Thus, GCF of Fractions is 2/18810.Finally, GCF of Fractions for 7332/95, 3922/198 is 2/18810.