Greatest Common Factor of 7189/187, 7143/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7189/187, 7143/430

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 7189/187,7143/430

Given fractions are 7189/187,7143/430

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 7189,7143

Greatest Common Factor of Numerators i.e. GCF of 7189,7143 is 1 .

LCM of Denominators means LCM of 187,430 as per the given fractions.

LCM of 187,430 is 80410 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7189,7143

GCF of Fractions 7189/187,7143/430 is 1/80410

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

Greatest Common Factor of 7189,7143 By Matching Biggest Common Factor Method

Greatest Common Factor of 7189,7143 By Matching Biggest Common Factor Method

Factors of 7189

List of positive integer factors of 7189 that divides 7189 without a remainder.

1,7,13,79,91,553,1027,7189

Factors of 7143

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

1,3,2381,7143

Greatest Common Factor

We found the factors 7189,7143 . The biggest common factor number is the GCF number.
So the greatest common factor 7189,7143 is 1.

Lets's calculate LCM of 187,430

Given numbers has no common factors except 1. So, there LCM is their product i.e 80410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/80410

Therefore, the GCF of Fractions 7189/187,7143/430 is 1/80410

Least Common Multiple of 187,430 with GCF Formula

Least Common Multiple of 187,430 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 187,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(187,430) = 1

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

GCF(187,430) x common factors =1 x 1 = 1

LCM(187,430) = ( 187 × 430 ) / 1

LCM(187,430) = 80410 / 1

LCM(187,430) = 80410


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 7189/187, 7143/430

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 7189/187, 7143/430?

Answer: GCF of Numerators as per given numbers 7189/187, 7143/430 is

GCF of Numerators i.e. for 7189,7143 is 1

LCM of denominators i.e. for 187,430 is 80410.

Thus, GCF of Fractions is 1/80410.Finally, GCF of Fractions for 7189/187, 7143/430 is 1/80410.