Greatest Common Factor of 8988/414, 7096/7863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8988/414, 7096/7863

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 8988/414,7096/7863

Given fractions are 8988/414,7096/7863

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 8988,7096

Greatest Common Factor of Numerators i.e. GCF of 8988,7096 is 4 .

LCM of Denominators means LCM of 414,7863 as per the given fractions.

LCM of 414,7863 is 1085094 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8988,7096

GCF of Fractions 8988/414,7096/7863 is 4/1085094

2 8988, 7096
2 4494, 3548
2247, 1774

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

Greatest Common Factor of 8988,7096 By Matching Biggest Common Factor Method

Greatest Common Factor of 8988,7096 By Matching Biggest Common Factor Method

Factors of 8988

List of positive integer factors of 8988 that divides 8988 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84,107,214,321,428,642,749,1284,1498,2247,2996,4494,8988

Factors of 7096

List of positive integer factors of 7096 that divides 7096 without a remainder.

1,2,4,8,887,1774,3548,7096

Greatest Common Factor

We found the factors 8988,7096 . The biggest common factor number is the GCF number.
So the greatest common factor 8988,7096 is 4.

Lets's calculate LCM of 414,7863

3 414, 7863
138, 2621

∴ So the LCM of the given numbers is 3 x 138 x 2621 = 1085094

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1085094

Therefore, the GCF of Fractions 8988/414,7096/7863 is 4/1085094

Least Common Multiple of 414,7863 with GCF Formula

Least Common Multiple of 414,7863 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 414,7863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,7863) = 3

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

GCF(414,7863) x common factors =3 x 1 = 3

LCM(414,7863) = ( 414 × 7863 ) / 3

LCM(414,7863) = 3255282 / 3

LCM(414,7863) = 1085094


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 8988/414, 7096/7863

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 8988/414, 7096/7863?

Answer: GCF of Numerators as per given numbers 8988/414, 7096/7863 is

GCF of Numerators i.e. for 8988,7096 is 4

LCM of denominators i.e. for 414,7863 is 1085094.

Thus, GCF of Fractions is 4/1085094.Finally, GCF of Fractions for 8988/414, 7096/7863 is 4/1085094.