Greatest Common Factor of 6903/29, 4623/883

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6903/29, 4623/883

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 6903/29,4623/883

Given fractions are 6903/29,4623/883

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 6903,4623

Greatest Common Factor of Numerators i.e. GCF of 6903,4623 is 3 .

LCM of Denominators means LCM of 29,883 as per the given fractions.

LCM of 29,883 is 25607 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6903,4623

GCF of Fractions 6903/29,4623/883 is 3/25607

3 6903, 4623
2301, 1541

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 6903,4623 By Matching Biggest Common Factor Method

Greatest Common Factor of 6903,4623 By Matching Biggest Common Factor Method

Factors of 6903

List of positive integer factors of 6903 that divides 6903 without a remainder.

1,3,9,13,39,59,117,177,531,767,2301,6903

Factors of 4623

List of positive integer factors of 4623 that divides 4623 without a remainder.

1,3,23,67,69,201,1541,4623

Greatest Common Factor

We found the factors 6903,4623 . The biggest common factor number is the GCF number.
So the greatest common factor 6903,4623 is 3.

Lets's calculate LCM of 29,883

Given numbers has no common factors except 1. So, there LCM is their product i.e 25607

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/25607

Therefore, the GCF of Fractions 6903/29,4623/883 is 3/25607

Least Common Multiple of 29,883 with GCF Formula

Least Common Multiple of 29,883 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 29,883 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,883) = 1

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

GCF(29,883) x common factors =1 x 1 = 1

LCM(29,883) = ( 29 × 883 ) / 1

LCM(29,883) = 25607 / 1

LCM(29,883) = 25607


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 6903/29, 4623/883

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 6903/29, 4623/883?

Answer: GCF of Numerators as per given numbers 6903/29, 4623/883 is

GCF of Numerators i.e. for 6903,4623 is 3

LCM of denominators i.e. for 29,883 is 25607.

Thus, GCF of Fractions is 3/25607.Finally, GCF of Fractions for 6903/29, 4623/883 is 3/25607.