Greatest Common Factor of 573/715, 5083/6005

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 573/715, 5083/6005

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 573/715,5083/6005

Given fractions are 573/715,5083/6005

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 573,5083

Greatest Common Factor of Numerators i.e. GCF of 573,5083 is 1 .

LCM of Denominators means LCM of 715,6005 as per the given fractions.

LCM of 715,6005 is 858715 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 573,5083

GCF of Fractions 573/715,5083/6005 is 1/858715

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

Greatest Common Factor of 573,5083 By Matching Biggest Common Factor Method

Greatest Common Factor of 573,5083 By Matching Biggest Common Factor Method

Factors of 573

List of positive integer factors of 573 that divides 573 without a remainder.

1,3,191,573

Factors of 5083

List of positive integer factors of 5083 that divides 5083 without a remainder.

1,13,17,23,221,299,391,5083

Greatest Common Factor

We found the factors 573,5083 . The biggest common factor number is the GCF number.
So the greatest common factor 573,5083 is 1.

Lets's calculate LCM of 715,6005

5 715, 6005
143, 1201

∴ So the LCM of the given numbers is 5 x 143 x 1201 = 858715

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/858715

Therefore, the GCF of Fractions 573/715,5083/6005 is 1/858715

Least Common Multiple of 715,6005 with GCF Formula

Least Common Multiple of 715,6005 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 715,6005 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(715,6005) = 5

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

GCF(715,6005) x common factors =5 x 1 = 5

LCM(715,6005) = ( 715 × 6005 ) / 5

LCM(715,6005) = 4293575 / 5

LCM(715,6005) = 858715


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 573/715, 5083/6005

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 573/715, 5083/6005?

Answer: GCF of Numerators as per given numbers 573/715, 5083/6005 is

GCF of Numerators i.e. for 573,5083 is 1

LCM of denominators i.e. for 715,6005 is 858715.

Thus, GCF of Fractions is 1/858715.Finally, GCF of Fractions for 573/715, 5083/6005 is 1/858715.