Greatest Common Factor of 883/204, 7823/4101

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 883/204, 7823/4101

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 883/204,7823/4101

Given fractions are 883/204,7823/4101

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 883,7823

Greatest Common Factor of Numerators i.e. GCF of 883,7823 is 1 .

LCM of Denominators means LCM of 204,4101 as per the given fractions.

LCM of 204,4101 is 278868 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 883,7823

GCF of Fractions 883/204,7823/4101 is 1/278868

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

Greatest Common Factor of 883,7823 By Matching Biggest Common Factor Method

Greatest Common Factor of 883,7823 By Matching Biggest Common Factor Method

Factors of 883

List of positive integer factors of 883 that divides 883 without a remainder.

1,883

Factors of 7823

List of positive integer factors of 7823 that divides 7823 without a remainder.

1,7823

Greatest Common Factor

We found the factors 883,7823 . The biggest common factor number is the GCF number.
So the greatest common factor 883,7823 is 1.

Lets's calculate LCM of 204,4101

3 204, 4101
68, 1367

∴ So the LCM of the given numbers is 3 x 68 x 1367 = 278868

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/278868

Therefore, the GCF of Fractions 883/204,7823/4101 is 1/278868

Least Common Multiple of 204,4101 with GCF Formula

Least Common Multiple of 204,4101 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 204,4101 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(204,4101) = 3

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

GCF(204,4101) x common factors =3 x 1 = 3

LCM(204,4101) = ( 204 × 4101 ) / 3

LCM(204,4101) = 836604 / 3

LCM(204,4101) = 278868


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 883/204, 7823/4101

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 883/204, 7823/4101?

Answer: GCF of Numerators as per given numbers 883/204, 7823/4101 is

GCF of Numerators i.e. for 883,7823 is 1

LCM of denominators i.e. for 204,4101 is 278868.

Thus, GCF of Fractions is 1/278868.Finally, GCF of Fractions for 883/204, 7823/4101 is 1/278868.