Greatest Common Factor of 5326/13, 6610/441

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5326/13, 6610/441

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 5326/13,6610/441

Given fractions are 5326/13,6610/441

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 5326,6610

Greatest Common Factor of Numerators i.e. GCF of 5326,6610 is 2 .

LCM of Denominators means LCM of 13,441 as per the given fractions.

LCM of 13,441 is 5733 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5326,6610

GCF of Fractions 5326/13,6610/441 is 2/5733

2 5326, 6610
2663, 3305

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

Greatest Common Factor of 5326,6610 By Matching Biggest Common Factor Method

Greatest Common Factor of 5326,6610 By Matching Biggest Common Factor Method

Factors of 5326

List of positive integer factors of 5326 that divides 5326 without a remainder.

1,2,2663,5326

Factors of 6610

List of positive integer factors of 6610 that divides 6610 without a remainder.

1,2,5,10,661,1322,3305,6610

Greatest Common Factor

We found the factors 5326,6610 . The biggest common factor number is the GCF number.
So the greatest common factor 5326,6610 is 2.

Lets's calculate LCM of 13,441

Given numbers has no common factors except 1. So, there LCM is their product i.e 5733

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5733

Therefore, the GCF of Fractions 5326/13,6610/441 is 2/5733

Least Common Multiple of 13,441 with GCF Formula

Least Common Multiple of 13,441 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 13,441 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,441) = 1

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

GCF(13,441) x common factors =1 x 1 = 1

LCM(13,441) = ( 13 × 441 ) / 1

LCM(13,441) = 5733 / 1

LCM(13,441) = 5733


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 5326/13, 6610/441

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 5326/13, 6610/441?

Answer: GCF of Numerators as per given numbers 5326/13, 6610/441 is

GCF of Numerators i.e. for 5326,6610 is 2

LCM of denominators i.e. for 13,441 is 5733.

Thus, GCF of Fractions is 2/5733.Finally, GCF of Fractions for 5326/13, 6610/441 is 2/5733.