Greatest Common Factor of 5308/513, 3819/147

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5308/513, 3819/147

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 5308/513,3819/147

Given fractions are 5308/513,3819/147

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 5308,3819

Greatest Common Factor of Numerators i.e. GCF of 5308,3819 is 1 .

LCM of Denominators means LCM of 513,147 as per the given fractions.

LCM of 513,147 is 25137 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5308,3819

GCF of Fractions 5308/513,3819/147 is 1/25137

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

Greatest Common Factor of 5308,3819 By Matching Biggest Common Factor Method

Greatest Common Factor of 5308,3819 By Matching Biggest Common Factor Method

Factors of 5308

List of positive integer factors of 5308 that divides 5308 without a remainder.

1,2,4,1327,2654,5308

Factors of 3819

List of positive integer factors of 3819 that divides 3819 without a remainder.

1,3,19,57,67,201,1273,3819

Greatest Common Factor

We found the factors 5308,3819 . The biggest common factor number is the GCF number.
So the greatest common factor 5308,3819 is 1.

Lets's calculate LCM of 513,147

3 513, 147
171, 49

∴ So the LCM of the given numbers is 3 x 171 x 49 = 25137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/25137

Therefore, the GCF of Fractions 5308/513,3819/147 is 1/25137

Least Common Multiple of 513,147 with GCF Formula

Least Common Multiple of 513,147 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 513,147 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(513,147) = 3

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

GCF(513,147) x common factors =3 x 1 = 3

LCM(513,147) = ( 513 × 147 ) / 3

LCM(513,147) = 75411 / 3

LCM(513,147) = 25137


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 5308/513, 3819/147

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 5308/513, 3819/147?

Answer: GCF of Numerators as per given numbers 5308/513, 3819/147 is

GCF of Numerators i.e. for 5308,3819 is 1

LCM of denominators i.e. for 513,147 is 25137.

Thus, GCF of Fractions is 1/25137.Finally, GCF of Fractions for 5308/513, 3819/147 is 1/25137.