Greatest Common Factor of 5573/519, 7009/1671

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5573/519, 7009/1671

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 5573/519,7009/1671

Given fractions are 5573/519,7009/1671

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 5573,7009

Greatest Common Factor of Numerators i.e. GCF of 5573,7009 is 1 .

LCM of Denominators means LCM of 519,1671 as per the given fractions.

LCM of 519,1671 is 289083 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5573,7009

GCF of Fractions 5573/519,7009/1671 is 1/289083

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

Greatest Common Factor of 5573,7009 By Matching Biggest Common Factor Method

Greatest Common Factor of 5573,7009 By Matching Biggest Common Factor Method

Factors of 5573

List of positive integer factors of 5573 that divides 5573 without a remainder.

1,5573

Factors of 7009

List of positive integer factors of 7009 that divides 7009 without a remainder.

1,43,163,7009

Greatest Common Factor

We found the factors 5573,7009 . The biggest common factor number is the GCF number.
So the greatest common factor 5573,7009 is 1.

Lets's calculate LCM of 519,1671

3 519, 1671
173, 557

∴ So the LCM of the given numbers is 3 x 173 x 557 = 289083

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/289083

Therefore, the GCF of Fractions 5573/519,7009/1671 is 1/289083

Least Common Multiple of 519,1671 with GCF Formula

Least Common Multiple of 519,1671 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 519,1671 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(519,1671) = 3

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

GCF(519,1671) x common factors =3 x 1 = 3

LCM(519,1671) = ( 519 × 1671 ) / 3

LCM(519,1671) = 867249 / 3

LCM(519,1671) = 289083


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 5573/519, 7009/1671

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 5573/519, 7009/1671?

Answer: GCF of Numerators as per given numbers 5573/519, 7009/1671 is

GCF of Numerators i.e. for 5573,7009 is 1

LCM of denominators i.e. for 519,1671 is 289083.

Thus, GCF of Fractions is 1/289083.Finally, GCF of Fractions for 5573/519, 7009/1671 is 1/289083.