Greatest Common Factor of 8284/322, 6637/7478

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8284/322, 6637/7478

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 8284/322,6637/7478

Given fractions are 8284/322,6637/7478

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 8284,6637

Greatest Common Factor of Numerators i.e. GCF of 8284,6637 is 1 .

LCM of Denominators means LCM of 322,7478 as per the given fractions.

LCM of 322,7478 is 1203958 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8284,6637

GCF of Fractions 8284/322,6637/7478 is 1/1203958

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

Greatest Common Factor of 8284,6637 By Matching Biggest Common Factor Method

Greatest Common Factor of 8284,6637 By Matching Biggest Common Factor Method

Factors of 8284

List of positive integer factors of 8284 that divides 8284 without a remainder.

1,2,4,19,38,76,109,218,436,2071,4142,8284

Factors of 6637

List of positive integer factors of 6637 that divides 6637 without a remainder.

1,6637

Greatest Common Factor

We found the factors 8284,6637 . The biggest common factor number is the GCF number.
So the greatest common factor 8284,6637 is 1.

Lets's calculate LCM of 322,7478

2 322, 7478
161, 3739

∴ So the LCM of the given numbers is 2 x 161 x 3739 = 1203958

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1203958

Therefore, the GCF of Fractions 8284/322,6637/7478 is 1/1203958

Least Common Multiple of 322,7478 with GCF Formula

Least Common Multiple of 322,7478 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 322,7478 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,7478) = 2

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

GCF(322,7478) x common factors =2 x 1 = 2

LCM(322,7478) = ( 322 × 7478 ) / 2

LCM(322,7478) = 2407916 / 2

LCM(322,7478) = 1203958


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 8284/322, 6637/7478

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 8284/322, 6637/7478?

Answer: GCF of Numerators as per given numbers 8284/322, 6637/7478 is

GCF of Numerators i.e. for 8284,6637 is 1

LCM of denominators i.e. for 322,7478 is 1203958.

Thus, GCF of Fractions is 1/1203958.Finally, GCF of Fractions for 8284/322, 6637/7478 is 1/1203958.