Greatest Common Factor of 7319/473, 5000/369

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7319/473, 5000/369

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 7319/473,5000/369

Given fractions are 7319/473,5000/369

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 7319,5000

Greatest Common Factor of Numerators i.e. GCF of 7319,5000 is 1 .

LCM of Denominators means LCM of 473,369 as per the given fractions.

LCM of 473,369 is 174537 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7319,5000

GCF of Fractions 7319/473,5000/369 is 1/174537

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

Greatest Common Factor of 7319,5000 By Matching Biggest Common Factor Method

Greatest Common Factor of 7319,5000 By Matching Biggest Common Factor Method

Factors of 7319

List of positive integer factors of 7319 that divides 7319 without a remainder.

1,13,563,7319

Factors of 5000

List of positive integer factors of 5000 that divides 5000 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,125,200,250,500,625,1000,1250,2500,5000

Greatest Common Factor

We found the factors 7319,5000 . The biggest common factor number is the GCF number.
So the greatest common factor 7319,5000 is 1.

Lets's calculate LCM of 473,369

Given numbers has no common factors except 1. So, there LCM is their product i.e 174537

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174537

Therefore, the GCF of Fractions 7319/473,5000/369 is 1/174537

Least Common Multiple of 473,369 with GCF Formula

Least Common Multiple of 473,369 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 473,369 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,369) = 1

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

GCF(473,369) x common factors =1 x 1 = 1

LCM(473,369) = ( 473 × 369 ) / 1

LCM(473,369) = 174537 / 1

LCM(473,369) = 174537


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 7319/473, 5000/369

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 7319/473, 5000/369?

Answer: GCF of Numerators as per given numbers 7319/473, 5000/369 is

GCF of Numerators i.e. for 7319,5000 is 1

LCM of denominators i.e. for 473,369 is 174537.

Thus, GCF of Fractions is 1/174537.Finally, GCF of Fractions for 7319/473, 5000/369 is 1/174537.