Greatest Common Factor of 7192/10, 8082/471

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7192/10, 8082/471

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 7192/10,8082/471

Given fractions are 7192/10,8082/471

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 7192,8082

Greatest Common Factor of Numerators i.e. GCF of 7192,8082 is 2 .

LCM of Denominators means LCM of 10,471 as per the given fractions.

LCM of 10,471 is 4710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7192,8082

GCF of Fractions 7192/10,8082/471 is 2/4710

2 7192, 8082
3596, 4041

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 7192,8082 By Matching Biggest Common Factor Method

Greatest Common Factor of 7192,8082 By Matching Biggest Common Factor Method

Factors of 7192

List of positive integer factors of 7192 that divides 7192 without a remainder.

1,2,4,8,29,31,58,62,116,124,232,248,899,1798,3596,7192

Factors of 8082

List of positive integer factors of 8082 that divides 8082 without a remainder.

1,2,3,6,9,18,449,898,1347,2694,4041,8082

Greatest Common Factor

We found the factors 7192,8082 . The biggest common factor number is the GCF number.
So the greatest common factor 7192,8082 is 2.

Lets's calculate LCM of 10,471

Given numbers has no common factors except 1. So, there LCM is their product i.e 4710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/4710

Therefore, the GCF of Fractions 7192/10,8082/471 is 2/4710

Least Common Multiple of 10,471 with GCF Formula

Least Common Multiple of 10,471 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 10,471 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,471) = 1

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

GCF(10,471) x common factors =1 x 1 = 1

LCM(10,471) = ( 10 × 471 ) / 1

LCM(10,471) = 4710 / 1

LCM(10,471) = 4710


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 7192/10, 8082/471

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 7192/10, 8082/471?

Answer: GCF of Numerators as per given numbers 7192/10, 8082/471 is

GCF of Numerators i.e. for 7192,8082 is 2

LCM of denominators i.e. for 10,471 is 4710.

Thus, GCF of Fractions is 2/4710.Finally, GCF of Fractions for 7192/10, 8082/471 is 2/4710.