Greatest Common Factor of 8478/660, 4238/9021

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8478/660, 4238/9021

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 8478/660,4238/9021

Given fractions are 8478/660,4238/9021

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 8478,4238

Greatest Common Factor of Numerators i.e. GCF of 8478,4238 is 2 .

LCM of Denominators means LCM of 660,9021 as per the given fractions.

LCM of 660,9021 is 1984620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8478,4238

GCF of Fractions 8478/660,4238/9021 is 2/1984620

2 8478, 4238
4239, 2119

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

Greatest Common Factor of 8478,4238 By Matching Biggest Common Factor Method

Greatest Common Factor of 8478,4238 By Matching Biggest Common Factor Method

Factors of 8478

List of positive integer factors of 8478 that divides 8478 without a remainder.

1,2,3,6,9,18,27,54,157,314,471,942,1413,2826,4239,8478

Factors of 4238

List of positive integer factors of 4238 that divides 4238 without a remainder.

1,2,13,26,163,326,2119,4238

Greatest Common Factor

We found the factors 8478,4238 . The biggest common factor number is the GCF number.
So the greatest common factor 8478,4238 is 2.

Lets's calculate LCM of 660,9021

3 660, 9021
220, 3007

∴ So the LCM of the given numbers is 3 x 220 x 3007 = 1984620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1984620

Therefore, the GCF of Fractions 8478/660,4238/9021 is 2/1984620

Least Common Multiple of 660,9021 with GCF Formula

Least Common Multiple of 660,9021 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 660,9021 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(660,9021) = 3

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

GCF(660,9021) x common factors =3 x 1 = 3

LCM(660,9021) = ( 660 × 9021 ) / 3

LCM(660,9021) = 5953860 / 3

LCM(660,9021) = 1984620


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 8478/660, 4238/9021

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 8478/660, 4238/9021?

Answer: GCF of Numerators as per given numbers 8478/660, 4238/9021 is

GCF of Numerators i.e. for 8478,4238 is 2

LCM of denominators i.e. for 660,9021 is 1984620.

Thus, GCF of Fractions is 2/1984620.Finally, GCF of Fractions for 8478/660, 4238/9021 is 2/1984620.