Greatest Common Factor of 8519/48, 3593/681

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8519/48, 3593/681

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 8519/48,3593/681

Given fractions are 8519/48,3593/681

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 8519,3593

Greatest Common Factor of Numerators i.e. GCF of 8519,3593 is 1 .

LCM of Denominators means LCM of 48,681 as per the given fractions.

LCM of 48,681 is 10896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8519,3593

GCF of Fractions 8519/48,3593/681 is 1/10896

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

Greatest Common Factor of 8519,3593 By Matching Biggest Common Factor Method

Greatest Common Factor of 8519,3593 By Matching Biggest Common Factor Method

Factors of 8519

List of positive integer factors of 8519 that divides 8519 without a remainder.

1,7,1217,8519

Factors of 3593

List of positive integer factors of 3593 that divides 3593 without a remainder.

1,3593

Greatest Common Factor

We found the factors 8519,3593 . The biggest common factor number is the GCF number.
So the greatest common factor 8519,3593 is 1.

Lets's calculate LCM of 48,681

3 48, 681
16, 227

∴ So the LCM of the given numbers is 3 x 16 x 227 = 10896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/10896

Therefore, the GCF of Fractions 8519/48,3593/681 is 1/10896

Least Common Multiple of 48,681 with GCF Formula

Least Common Multiple of 48,681 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 48,681 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,681) = 3

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

GCF(48,681) x common factors =3 x 1 = 3

LCM(48,681) = ( 48 × 681 ) / 3

LCM(48,681) = 32688 / 3

LCM(48,681) = 10896


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 8519/48, 3593/681

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 8519/48, 3593/681?

Answer: GCF of Numerators as per given numbers 8519/48, 3593/681 is

GCF of Numerators i.e. for 8519,3593 is 1

LCM of denominators i.e. for 48,681 is 10896.

Thus, GCF of Fractions is 1/10896.Finally, GCF of Fractions for 8519/48, 3593/681 is 1/10896.