Greatest Common Factor of 7143/641, 1631/477

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7143/641, 1631/477

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 7143/641,1631/477

Given fractions are 7143/641,1631/477

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 7143,1631

Greatest Common Factor of Numerators i.e. GCF of 7143,1631 is 1 .

LCM of Denominators means LCM of 641,477 as per the given fractions.

LCM of 641,477 is 305757 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7143,1631

GCF of Fractions 7143/641,1631/477 is 1/305757

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

Greatest Common Factor of 7143,1631 By Matching Biggest Common Factor Method

Greatest Common Factor of 7143,1631 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 1631

List of positive integer factors of 1631 that divides 1631 without a remainder.

1,7,233,1631

Greatest Common Factor

We found the factors 7143,1631 . The biggest common factor number is the GCF number.
So the greatest common factor 7143,1631 is 1.

Lets's calculate LCM of 641,477

Given numbers has no common factors except 1. So, there LCM is their product i.e 305757

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/305757

Therefore, the GCF of Fractions 7143/641,1631/477 is 1/305757

Least Common Multiple of 641,477 with GCF Formula

Least Common Multiple of 641,477 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 641,477 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,477) = 1

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

GCF(641,477) x common factors =1 x 1 = 1

LCM(641,477) = ( 641 × 477 ) / 1

LCM(641,477) = 305757 / 1

LCM(641,477) = 305757


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 7143/641, 1631/477

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 7143/641, 1631/477?

Answer: GCF of Numerators as per given numbers 7143/641, 1631/477 is

GCF of Numerators i.e. for 7143,1631 is 1

LCM of denominators i.e. for 641,477 is 305757.

Thus, GCF of Fractions is 1/305757.Finally, GCF of Fractions for 7143/641, 1631/477 is 1/305757.