Greatest Common Factor of 570/253, 7755/2009

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 570/253, 7755/2009

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 570/253,7755/2009

Given fractions are 570/253,7755/2009

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 570,7755

Greatest Common Factor of Numerators i.e. GCF of 570,7755 is 15 .

LCM of Denominators means LCM of 253,2009 as per the given fractions.

LCM of 253,2009 is 508277 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 570,7755

GCF of Fractions 570/253,7755/2009 is 15/508277

3 570, 7755
5 190, 2585
38, 517

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 570,7755 By Matching Biggest Common Factor Method

Greatest Common Factor of 570,7755 By Matching Biggest Common Factor Method

Factors of 570

List of positive integer factors of 570 that divides 570 without a remainder.

1,2,3,5,6,10,15,19,30,38,57,95,114,190,285,570

Factors of 7755

List of positive integer factors of 7755 that divides 7755 without a remainder.

1,3,5,11,15,33,47,55,141,165,235,517,705,1551,2585,7755

Greatest Common Factor

We found the factors 570,7755 . The biggest common factor number is the GCF number.
So the greatest common factor 570,7755 is 15.

Lets's calculate LCM of 253,2009

Given numbers has no common factors except 1. So, there LCM is their product i.e 508277

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/508277

Therefore, the GCF of Fractions 570/253,7755/2009 is 15/508277

Least Common Multiple of 253,2009 with GCF Formula

Least Common Multiple of 253,2009 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 253,2009 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,2009) = 1

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

GCF(253,2009) x common factors =1 x 1 = 1

LCM(253,2009) = ( 253 × 2009 ) / 1

LCM(253,2009) = 508277 / 1

LCM(253,2009) = 508277


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 570/253, 7755/2009

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 570/253, 7755/2009?

Answer: GCF of Numerators as per given numbers 570/253, 7755/2009 is

GCF of Numerators i.e. for 570,7755 is 15

LCM of denominators i.e. for 253,2009 is 508277.

Thus, GCF of Fractions is 15/508277.Finally, GCF of Fractions for 570/253, 7755/2009 is 15/508277.