Greatest Common Factor of 4791/368, 8301/8108

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4791/368, 8301/8108

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 4791/368,8301/8108

Given fractions are 4791/368,8301/8108

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 4791,8301

Greatest Common Factor of Numerators i.e. GCF of 4791,8301 is 3 .

LCM of Denominators means LCM of 368,8108 as per the given fractions.

LCM of 368,8108 is 745936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4791,8301

GCF of Fractions 4791/368,8301/8108 is 3/745936

3 4791, 8301
1597, 2767

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

Greatest Common Factor of 4791,8301 By Matching Biggest Common Factor Method

Greatest Common Factor of 4791,8301 By Matching Biggest Common Factor Method

Factors of 4791

List of positive integer factors of 4791 that divides 4791 without a remainder.

1,3,1597,4791

Factors of 8301

List of positive integer factors of 8301 that divides 8301 without a remainder.

1,3,2767,8301

Greatest Common Factor

We found the factors 4791,8301 . The biggest common factor number is the GCF number.
So the greatest common factor 4791,8301 is 3.

Lets's calculate LCM of 368,8108

2 368, 8108
2 184, 4054
92, 2027

∴ So the LCM of the given numbers is 2 x 2 x 92 x 2027 = 745936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/745936

Therefore, the GCF of Fractions 4791/368,8301/8108 is 3/745936

Least Common Multiple of 368,8108 with GCF Formula

Least Common Multiple of 368,8108 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 368,8108 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(368,8108) = 4

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

GCF(368,8108) x common factors =4 x 1 = 4

LCM(368,8108) = ( 368 × 8108 ) / 4

LCM(368,8108) = 2983744 / 4

LCM(368,8108) = 745936


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 4791/368, 8301/8108

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 4791/368, 8301/8108?

Answer: GCF of Numerators as per given numbers 4791/368, 8301/8108 is

GCF of Numerators i.e. for 4791,8301 is 3

LCM of denominators i.e. for 368,8108 is 745936.

Thus, GCF of Fractions is 3/745936.Finally, GCF of Fractions for 4791/368, 8301/8108 is 3/745936.