Greatest Common Factor of 8302/661, 1324/8248

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8302/661, 1324/8248

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 8302/661,1324/8248

Given fractions are 8302/661,1324/8248

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 8302,1324

Greatest Common Factor of Numerators i.e. GCF of 8302,1324 is 2 .

LCM of Denominators means LCM of 661,8248 as per the given fractions.

LCM of 661,8248 is 5451928 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8302,1324

GCF of Fractions 8302/661,1324/8248 is 2/5451928

2 8302, 1324
4151, 662

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

Greatest Common Factor of 8302,1324 By Matching Biggest Common Factor Method

Greatest Common Factor of 8302,1324 By Matching Biggest Common Factor Method

Factors of 8302

List of positive integer factors of 8302 that divides 8302 without a remainder.

1,2,7,14,593,1186,4151,8302

Factors of 1324

List of positive integer factors of 1324 that divides 1324 without a remainder.

1,2,4,331,662,1324

Greatest Common Factor

We found the factors 8302,1324 . The biggest common factor number is the GCF number.
So the greatest common factor 8302,1324 is 2.

Lets's calculate LCM of 661,8248

Given numbers has no common factors except 1. So, there LCM is their product i.e 5451928

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5451928

Therefore, the GCF of Fractions 8302/661,1324/8248 is 2/5451928

Least Common Multiple of 661,8248 with GCF Formula

Least Common Multiple of 661,8248 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 661,8248 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,8248) = 1

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

GCF(661,8248) x common factors =1 x 1 = 1

LCM(661,8248) = ( 661 × 8248 ) / 1

LCM(661,8248) = 5451928 / 1

LCM(661,8248) = 5451928


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 8302/661, 1324/8248

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 8302/661, 1324/8248?

Answer: GCF of Numerators as per given numbers 8302/661, 1324/8248 is

GCF of Numerators i.e. for 8302,1324 is 2

LCM of denominators i.e. for 661,8248 is 5451928.

Thus, GCF of Fractions is 2/5451928.Finally, GCF of Fractions for 8302/661, 1324/8248 is 2/5451928.