Greatest Common Factor of 7196/963, 8815/8034

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7196/963, 8815/8034

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 7196/963,8815/8034

Given fractions are 7196/963,8815/8034

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 7196,8815

Greatest Common Factor of Numerators i.e. GCF of 7196,8815 is 1 .

LCM of Denominators means LCM of 963,8034 as per the given fractions.

LCM of 963,8034 is 2578914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7196,8815

GCF of Fractions 7196/963,8815/8034 is 1/2578914

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

Greatest Common Factor of 7196,8815 By Matching Biggest Common Factor Method

Greatest Common Factor of 7196,8815 By Matching Biggest Common Factor Method

Factors of 7196

List of positive integer factors of 7196 that divides 7196 without a remainder.

1,2,4,7,14,28,257,514,1028,1799,3598,7196

Factors of 8815

List of positive integer factors of 8815 that divides 8815 without a remainder.

1,5,41,43,205,215,1763,8815

Greatest Common Factor

We found the factors 7196,8815 . The biggest common factor number is the GCF number.
So the greatest common factor 7196,8815 is 1.

Lets's calculate LCM of 963,8034

3 963, 8034
321, 2678

∴ So the LCM of the given numbers is 3 x 321 x 2678 = 2578914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2578914

Therefore, the GCF of Fractions 7196/963,8815/8034 is 1/2578914

Least Common Multiple of 963,8034 with GCF Formula

Least Common Multiple of 963,8034 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 963,8034 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(963,8034) = 3

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

GCF(963,8034) x common factors =3 x 1 = 3

LCM(963,8034) = ( 963 × 8034 ) / 3

LCM(963,8034) = 7736742 / 3

LCM(963,8034) = 2578914


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 7196/963, 8815/8034

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 7196/963, 8815/8034?

Answer: GCF of Numerators as per given numbers 7196/963, 8815/8034 is

GCF of Numerators i.e. for 7196,8815 is 1

LCM of denominators i.e. for 963,8034 is 2578914.

Thus, GCF of Fractions is 1/2578914.Finally, GCF of Fractions for 7196/963, 8815/8034 is 1/2578914.