Greatest Common Factor of 8278/39, 1280/431

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8278/39, 1280/431

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 8278/39,1280/431

Given fractions are 8278/39,1280/431

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 8278,1280

Greatest Common Factor of Numerators i.e. GCF of 8278,1280 is 2 .

LCM of Denominators means LCM of 39,431 as per the given fractions.

LCM of 39,431 is 16809 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8278,1280

GCF of Fractions 8278/39,1280/431 is 2/16809

2 8278, 1280
4139, 640

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

Greatest Common Factor of 8278,1280 By Matching Biggest Common Factor Method

Greatest Common Factor of 8278,1280 By Matching Biggest Common Factor Method

Factors of 8278

List of positive integer factors of 8278 that divides 8278 without a remainder.

1,2,4139,8278

Factors of 1280

List of positive integer factors of 1280 that divides 1280 without a remainder.

1,2,4,5,8,10,16,20,32,40,64,80,128,160,256,320,640,1280

Greatest Common Factor

We found the factors 8278,1280 . The biggest common factor number is the GCF number.
So the greatest common factor 8278,1280 is 2.

Lets's calculate LCM of 39,431

Given numbers has no common factors except 1. So, there LCM is their product i.e 16809

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/16809

Therefore, the GCF of Fractions 8278/39,1280/431 is 2/16809

Least Common Multiple of 39,431 with GCF Formula

Least Common Multiple of 39,431 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 39,431 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,431) = 1

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

GCF(39,431) x common factors =1 x 1 = 1

LCM(39,431) = ( 39 × 431 ) / 1

LCM(39,431) = 16809 / 1

LCM(39,431) = 16809


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 8278/39, 1280/431

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 8278/39, 1280/431?

Answer: GCF of Numerators as per given numbers 8278/39, 1280/431 is

GCF of Numerators i.e. for 8278,1280 is 2

LCM of denominators i.e. for 39,431 is 16809.

Thus, GCF of Fractions is 2/16809.Finally, GCF of Fractions for 8278/39, 1280/431 is 2/16809.