Greatest Common Factor of 8983/58, 4768/863

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8983/58, 4768/863

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 8983/58,4768/863

Given fractions are 8983/58,4768/863

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 8983,4768

Greatest Common Factor of Numerators i.e. GCF of 8983,4768 is 1 .

LCM of Denominators means LCM of 58,863 as per the given fractions.

LCM of 58,863 is 50054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8983,4768

GCF of Fractions 8983/58,4768/863 is 1/50054

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

Greatest Common Factor of 8983,4768 By Matching Biggest Common Factor Method

Greatest Common Factor of 8983,4768 By Matching Biggest Common Factor Method

Factors of 8983

List of positive integer factors of 8983 that divides 8983 without a remainder.

1,13,691,8983

Factors of 4768

List of positive integer factors of 4768 that divides 4768 without a remainder.

1,2,4,8,16,32,149,298,596,1192,2384,4768

Greatest Common Factor

We found the factors 8983,4768 . The biggest common factor number is the GCF number.
So the greatest common factor 8983,4768 is 1.

Lets's calculate LCM of 58,863

Given numbers has no common factors except 1. So, there LCM is their product i.e 50054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50054

Therefore, the GCF of Fractions 8983/58,4768/863 is 1/50054

Least Common Multiple of 58,863 with GCF Formula

Least Common Multiple of 58,863 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 58,863 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,863) = 1

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

GCF(58,863) x common factors =1 x 1 = 1

LCM(58,863) = ( 58 × 863 ) / 1

LCM(58,863) = 50054 / 1

LCM(58,863) = 50054


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 8983/58, 4768/863

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 8983/58, 4768/863?

Answer: GCF of Numerators as per given numbers 8983/58, 4768/863 is

GCF of Numerators i.e. for 8983,4768 is 1

LCM of denominators i.e. for 58,863 is 50054.

Thus, GCF of Fractions is 1/50054.Finally, GCF of Fractions for 8983/58, 4768/863 is 1/50054.