Greatest Common Factor of 26/371, 509/819, 483/929

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/371, 509/819, 483/929

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 26/371,509/819,483/929

Given fractions are 26/371,509/819,483/929

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 26,509,483

Greatest Common Factor of Numerators i.e. GCF of 26,509,483 is 1 .

LCM of Denominators means LCM of 371,819,929 as per the given fractions.

LCM of 371,819,929 is 40325103 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,509,483

GCF of Fractions 26/371,509/819,483/929 is 1/40325103

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 26,509,483 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,509,483 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 509

List of positive integer factors of 509 that divides 509 without a remainder.

1,509

Factors of 483

List of positive integer factors of 483 that divides 483 without a remainder.

1,3,7,21,23,69,161,483

Greatest Common Factor

We found the factors 26,509,483 . The biggest common factor number is the GCF number.
So the greatest common factor 26,509,483 is 1.

Lets's calculate LCM of 371,819,929

7 371, 819, 929
53, 117, 929

∴ So the LCM of the given numbers is 7 x 53 x 117 x 929 = 40325103

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40325103

Therefore, the GCF of Fractions 26/371,509/819,483/929 is 1/40325103

Least Common Multiple of 371,819,929 with GCF Formula

Least Common Multiple of 371,819,929 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 371,819,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,819,929) = 1

common factors(in case of two or more numbers have common factors) = 7

GCF(371,819,929) x common factors =1 x 7 = 7

LCM(371,819,929) = ( 371 × 819 × 929 ) / 7

LCM(371,819,929) = 282275721 / 7

LCM(371,819,929) = 40325103


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 26/371, 509/819, 483/929

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 26/371, 509/819, 483/929?

Answer: GCF of Numerators as per given numbers 26/371, 509/819, 483/929 is

GCF of Numerators i.e. for 26,509,483 is 1

LCM of denominators i.e. for 371,819,929 is 40325103.

Thus, GCF of Fractions is 1/40325103.Finally, GCF of Fractions for 26/371, 509/819, 483/929 is 1/40325103.