Greatest Common Factor of 54/105, 10/503, 809/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 54/105, 10/503, 809/260

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 54/105,10/503,809/260

Given fractions are 54/105,10/503,809/260

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 54,10,809

Greatest Common Factor of Numerators i.e. GCF of 54,10,809 is 1 .

LCM of Denominators means LCM of 105,503,260 as per the given fractions.

LCM of 105,503,260 is 2746380 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 54,10,809

GCF of Fractions 54/105,10/503,809/260 is 1/2746380

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

Greatest Common Factor of 54,10,809 By Matching Biggest Common Factor Method

Greatest Common Factor of 54,10,809 By Matching Biggest Common Factor Method

Factors of 54

List of positive integer factors of 54 that divides 54 without a remainder.

1,2,3,6,9,18,27,54

Factors of 10

List of positive integer factors of 10 that divides 10 without a remainder.

1,2,5,10

Factors of 809

List of positive integer factors of 809 that divides 809 without a remainder.

1,809

Greatest Common Factor

We found the factors 54,10,809 . The biggest common factor number is the GCF number.
So the greatest common factor 54,10,809 is 1.

Lets's calculate LCM of 105,503,260

5 105, 503, 260
21, 503, 52

∴ So the LCM of the given numbers is 5 x 21 x 503 x 52 = 2746380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2746380

Therefore, the GCF of Fractions 54/105,10/503,809/260 is 1/2746380

Least Common Multiple of 105,503,260 with GCF Formula

Least Common Multiple of 105,503,260 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 105,503,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,503,260) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(105,503,260) x common factors =1 x 5 = 5

LCM(105,503,260) = ( 105 × 503 × 260 ) / 5

LCM(105,503,260) = 13731900 / 5

LCM(105,503,260) = 2746380


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 54/105, 10/503, 809/260

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 54/105, 10/503, 809/260?

Answer: GCF of Numerators as per given numbers 54/105, 10/503, 809/260 is

GCF of Numerators i.e. for 54,10,809 is 1

LCM of denominators i.e. for 105,503,260 is 2746380.

Thus, GCF of Fractions is 1/2746380.Finally, GCF of Fractions for 54/105, 10/503, 809/260 is 1/2746380.