Greatest Common Factor of 2678/355, 8272/3959

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2678/355, 8272/3959

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 2678/355,8272/3959

Given fractions are 2678/355,8272/3959

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 2678,8272

Greatest Common Factor of Numerators i.e. GCF of 2678,8272 is 2 .

LCM of Denominators means LCM of 355,3959 as per the given fractions.

LCM of 355,3959 is 1405445 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2678,8272

GCF of Fractions 2678/355,8272/3959 is 2/1405445

2 2678, 8272
1339, 4136

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

Greatest Common Factor of 2678,8272 By Matching Biggest Common Factor Method

Greatest Common Factor of 2678,8272 By Matching Biggest Common Factor Method

Factors of 2678

List of positive integer factors of 2678 that divides 2678 without a remainder.

1,2,13,26,103,206,1339,2678

Factors of 8272

List of positive integer factors of 8272 that divides 8272 without a remainder.

1,2,4,8,11,16,22,44,47,88,94,176,188,376,517,752,1034,2068,4136,8272

Greatest Common Factor

We found the factors 2678,8272 . The biggest common factor number is the GCF number.
So the greatest common factor 2678,8272 is 2.

Lets's calculate LCM of 355,3959

Given numbers has no common factors except 1. So, there LCM is their product i.e 1405445

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1405445

Therefore, the GCF of Fractions 2678/355,8272/3959 is 2/1405445

Least Common Multiple of 355,3959 with GCF Formula

Least Common Multiple of 355,3959 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 355,3959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(355,3959) = 1

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

GCF(355,3959) x common factors =1 x 1 = 1

LCM(355,3959) = ( 355 × 3959 ) / 1

LCM(355,3959) = 1405445 / 1

LCM(355,3959) = 1405445


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 2678/355, 8272/3959

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 2678/355, 8272/3959?

Answer: GCF of Numerators as per given numbers 2678/355, 8272/3959 is

GCF of Numerators i.e. for 2678,8272 is 2

LCM of denominators i.e. for 355,3959 is 1405445.

Thus, GCF of Fractions is 2/1405445.Finally, GCF of Fractions for 2678/355, 8272/3959 is 2/1405445.