Greatest Common Factor of 8171/818, 7382/3839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8171/818, 7382/3839

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 8171/818,7382/3839

Given fractions are 8171/818,7382/3839

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 8171,7382

Greatest Common Factor of Numerators i.e. GCF of 8171,7382 is 1 .

LCM of Denominators means LCM of 818,3839 as per the given fractions.

LCM of 818,3839 is 3140302 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8171,7382

GCF of Fractions 8171/818,7382/3839 is 1/3140302

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

Greatest Common Factor of 8171,7382 By Matching Biggest Common Factor Method

Greatest Common Factor of 8171,7382 By Matching Biggest Common Factor Method

Factors of 8171

List of positive integer factors of 8171 that divides 8171 without a remainder.

1,8171

Factors of 7382

List of positive integer factors of 7382 that divides 7382 without a remainder.

1,2,3691,7382

Greatest Common Factor

We found the factors 8171,7382 . The biggest common factor number is the GCF number.
So the greatest common factor 8171,7382 is 1.

Lets's calculate LCM of 818,3839

Given numbers has no common factors except 1. So, there LCM is their product i.e 3140302

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3140302

Therefore, the GCF of Fractions 8171/818,7382/3839 is 1/3140302

Least Common Multiple of 818,3839 with GCF Formula

Least Common Multiple of 818,3839 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 818,3839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(818,3839) = 1

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

GCF(818,3839) x common factors =1 x 1 = 1

LCM(818,3839) = ( 818 × 3839 ) / 1

LCM(818,3839) = 3140302 / 1

LCM(818,3839) = 3140302


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 8171/818, 7382/3839

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 8171/818, 7382/3839?

Answer: GCF of Numerators as per given numbers 8171/818, 7382/3839 is

GCF of Numerators i.e. for 8171,7382 is 1

LCM of denominators i.e. for 818,3839 is 3140302.

Thus, GCF of Fractions is 1/3140302.Finally, GCF of Fractions for 8171/818, 7382/3839 is 1/3140302.