Greatest Common Factor of 26/668, 678/289

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/668, 678/289

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 26/668,678/289

Given fractions are 26/668,678/289

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 26,678

Greatest Common Factor of Numerators i.e. GCF of 26,678 is 2 .

LCM of Denominators means LCM of 668,289 as per the given fractions.

LCM of 668,289 is 193052 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,678

GCF of Fractions 26/668,678/289 is 2/193052

2 26, 678
13, 339

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

Greatest Common Factor of 26,678 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,678 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 678

List of positive integer factors of 678 that divides 678 without a remainder.

1,2,3,6,113,226,339,678

Greatest Common Factor

We found the factors 26,678 . The biggest common factor number is the GCF number.
So the greatest common factor 26,678 is 2.

Lets's calculate LCM of 668,289

Given numbers has no common factors except 1. So, there LCM is their product i.e 193052

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/193052

Therefore, the GCF of Fractions 26/668,678/289 is 2/193052

Least Common Multiple of 668,289 with GCF Formula

Least Common Multiple of 668,289 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 668,289 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(668,289) = 1

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

GCF(668,289) x common factors =1 x 1 = 1

LCM(668,289) = ( 668 × 289 ) / 1

LCM(668,289) = 193052 / 1

LCM(668,289) = 193052


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 26/668, 678/289

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 26/668, 678/289?

Answer: GCF of Numerators as per given numbers 26/668, 678/289 is

GCF of Numerators i.e. for 26,678 is 2

LCM of denominators i.e. for 668,289 is 193052.

Thus, GCF of Fractions is 2/193052.Finally, GCF of Fractions for 26/668, 678/289 is 2/193052.