Greatest Common Factor of 7143/17, 5130/513

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7143/17, 5130/513

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 7143/17,5130/513

Given fractions are 7143/17,5130/513

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 7143,5130

Greatest Common Factor of Numerators i.e. GCF of 7143,5130 is 3 .

LCM of Denominators means LCM of 17,513 as per the given fractions.

LCM of 17,513 is 8721 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7143,5130

GCF of Fractions 7143/17,5130/513 is 3/8721

3 7143, 5130
2381, 1710

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 7143,5130 By Matching Biggest Common Factor Method

Greatest Common Factor of 7143,5130 By Matching Biggest Common Factor Method

Factors of 7143

List of positive integer factors of 7143 that divides 7143 without a remainder.

1,3,2381,7143

Factors of 5130

List of positive integer factors of 5130 that divides 5130 without a remainder.

1,2,3,5,6,9,10,15,18,19,27,30,38,45,54,57,90,95,114,135,171,190,270,285,342,513,570,855,1026,1710,2565,5130

Greatest Common Factor

We found the factors 7143,5130 . The biggest common factor number is the GCF number.
So the greatest common factor 7143,5130 is 3.

Lets's calculate LCM of 17,513

Given numbers has no common factors except 1. So, there LCM is their product i.e 8721

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/8721

Therefore, the GCF of Fractions 7143/17,5130/513 is 3/8721

Least Common Multiple of 17,513 with GCF Formula

Least Common Multiple of 17,513 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 17,513 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,513) = 1

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

GCF(17,513) x common factors =1 x 1 = 1

LCM(17,513) = ( 17 × 513 ) / 1

LCM(17,513) = 8721 / 1

LCM(17,513) = 8721


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 7143/17, 5130/513

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 7143/17, 5130/513?

Answer: GCF of Numerators as per given numbers 7143/17, 5130/513 is

GCF of Numerators i.e. for 7143,5130 is 3

LCM of denominators i.e. for 17,513 is 8721.

Thus, GCF of Fractions is 3/8721.Finally, GCF of Fractions for 7143/17, 5130/513 is 3/8721.