Greatest Common Factor of 7723/857, 3829/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7723/857, 3829/188

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 7723/857,3829/188

Given fractions are 7723/857,3829/188

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 7723,3829

Greatest Common Factor of Numerators i.e. GCF of 7723,3829 is 1 .

LCM of Denominators means LCM of 857,188 as per the given fractions.

LCM of 857,188 is 161116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7723,3829

GCF of Fractions 7723/857,3829/188 is 1/161116

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

Greatest Common Factor of 7723,3829 By Matching Biggest Common Factor Method

Greatest Common Factor of 7723,3829 By Matching Biggest Common Factor Method

Factors of 7723

List of positive integer factors of 7723 that divides 7723 without a remainder.

1,7723

Factors of 3829

List of positive integer factors of 3829 that divides 3829 without a remainder.

1,7,547,3829

Greatest Common Factor

We found the factors 7723,3829 . The biggest common factor number is the GCF number.
So the greatest common factor 7723,3829 is 1.

Lets's calculate LCM of 857,188

Given numbers has no common factors except 1. So, there LCM is their product i.e 161116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/161116

Therefore, the GCF of Fractions 7723/857,3829/188 is 1/161116

Least Common Multiple of 857,188 with GCF Formula

Least Common Multiple of 857,188 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 857,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(857,188) = 1

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

GCF(857,188) x common factors =1 x 1 = 1

LCM(857,188) = ( 857 × 188 ) / 1

LCM(857,188) = 161116 / 1

LCM(857,188) = 161116


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 7723/857, 3829/188

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 7723/857, 3829/188?

Answer: GCF of Numerators as per given numbers 7723/857, 3829/188 is

GCF of Numerators i.e. for 7723,3829 is 1

LCM of denominators i.e. for 857,188 is 161116.

Thus, GCF of Fractions is 1/161116.Finally, GCF of Fractions for 7723/857, 3829/188 is 1/161116.