Greatest Common Factor of 7984/67, 8772/198

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7984/67, 8772/198

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 7984/67,8772/198

Given fractions are 7984/67,8772/198

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 7984,8772

Greatest Common Factor of Numerators i.e. GCF of 7984,8772 is 4 .

LCM of Denominators means LCM of 67,198 as per the given fractions.

LCM of 67,198 is 13266 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7984,8772

GCF of Fractions 7984/67,8772/198 is 4/13266

2 7984, 8772
2 3992, 4386
1996, 2193

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

Greatest Common Factor of 7984,8772 By Matching Biggest Common Factor Method

Greatest Common Factor of 7984,8772 By Matching Biggest Common Factor Method

Factors of 7984

List of positive integer factors of 7984 that divides 7984 without a remainder.

1,2,4,8,16,499,998,1996,3992,7984

Factors of 8772

List of positive integer factors of 8772 that divides 8772 without a remainder.

1,2,3,4,6,12,17,34,43,51,68,86,102,129,172,204,258,516,731,1462,2193,2924,4386,8772

Greatest Common Factor

We found the factors 7984,8772 . The biggest common factor number is the GCF number.
So the greatest common factor 7984,8772 is 4.

Lets's calculate LCM of 67,198

Given numbers has no common factors except 1. So, there LCM is their product i.e 13266

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/13266

Therefore, the GCF of Fractions 7984/67,8772/198 is 4/13266

Least Common Multiple of 67,198 with GCF Formula

Least Common Multiple of 67,198 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 67,198 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,198) = 1

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

GCF(67,198) x common factors =1 x 1 = 1

LCM(67,198) = ( 67 × 198 ) / 1

LCM(67,198) = 13266 / 1

LCM(67,198) = 13266


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 7984/67, 8772/198

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 7984/67, 8772/198?

Answer: GCF of Numerators as per given numbers 7984/67, 8772/198 is

GCF of Numerators i.e. for 7984,8772 is 4

LCM of denominators i.e. for 67,198 is 13266.

Thus, GCF of Fractions is 4/13266.Finally, GCF of Fractions for 7984/67, 8772/198 is 4/13266.