Greatest Common Factor of 1328/26, 6746/486

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1328/26, 6746/486

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 1328/26,6746/486

Given fractions are 1328/26,6746/486

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 1328,6746

Greatest Common Factor of Numerators i.e. GCF of 1328,6746 is 2 .

LCM of Denominators means LCM of 26,486 as per the given fractions.

LCM of 26,486 is 6318 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1328,6746

GCF of Fractions 1328/26,6746/486 is 2/6318

2 1328, 6746
664, 3373

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

Greatest Common Factor of 1328,6746 By Matching Biggest Common Factor Method

Greatest Common Factor of 1328,6746 By Matching Biggest Common Factor Method

Factors of 1328

List of positive integer factors of 1328 that divides 1328 without a remainder.

1,2,4,8,16,83,166,332,664,1328

Factors of 6746

List of positive integer factors of 6746 that divides 6746 without a remainder.

1,2,3373,6746

Greatest Common Factor

We found the factors 1328,6746 . The biggest common factor number is the GCF number.
So the greatest common factor 1328,6746 is 2.

Lets's calculate LCM of 26,486

2 26, 486
13, 243

∴ So the LCM of the given numbers is 2 x 13 x 243 = 6318

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6318

Therefore, the GCF of Fractions 1328/26,6746/486 is 2/6318

Least Common Multiple of 26,486 with GCF Formula

Least Common Multiple of 26,486 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 26,486 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(26,486) = 2

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

GCF(26,486) x common factors =2 x 1 = 2

LCM(26,486) = ( 26 × 486 ) / 2

LCM(26,486) = 12636 / 2

LCM(26,486) = 6318


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 1328/26, 6746/486

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 1328/26, 6746/486?

Answer: GCF of Numerators as per given numbers 1328/26, 6746/486 is

GCF of Numerators i.e. for 1328,6746 is 2

LCM of denominators i.e. for 26,486 is 6318.

Thus, GCF of Fractions is 2/6318.Finally, GCF of Fractions for 1328/26, 6746/486 is 2/6318.