Greatest Common Factor of 8393/716, 3935/804

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8393/716, 3935/804

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 8393/716,3935/804

Given fractions are 8393/716,3935/804

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 8393,3935

Greatest Common Factor of Numerators i.e. GCF of 8393,3935 is 1 .

LCM of Denominators means LCM of 716,804 as per the given fractions.

LCM of 716,804 is 143916 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8393,3935

GCF of Fractions 8393/716,3935/804 is 1/143916

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

Greatest Common Factor of 8393,3935 By Matching Biggest Common Factor Method

Greatest Common Factor of 8393,3935 By Matching Biggest Common Factor Method

Factors of 8393

List of positive integer factors of 8393 that divides 8393 without a remainder.

1,7,11,77,109,763,1199,8393

Factors of 3935

List of positive integer factors of 3935 that divides 3935 without a remainder.

1,5,787,3935

Greatest Common Factor

We found the factors 8393,3935 . The biggest common factor number is the GCF number.
So the greatest common factor 8393,3935 is 1.

Lets's calculate LCM of 716,804

2 716, 804
2 358, 402
179, 201

∴ So the LCM of the given numbers is 2 x 2 x 179 x 201 = 143916

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/143916

Therefore, the GCF of Fractions 8393/716,3935/804 is 1/143916

Least Common Multiple of 716,804 with GCF Formula

Least Common Multiple of 716,804 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 716,804 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(716,804) = 4

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

GCF(716,804) x common factors =4 x 1 = 4

LCM(716,804) = ( 716 × 804 ) / 4

LCM(716,804) = 575664 / 4

LCM(716,804) = 143916


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 8393/716, 3935/804

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 8393/716, 3935/804?

Answer: GCF of Numerators as per given numbers 8393/716, 3935/804 is

GCF of Numerators i.e. for 8393,3935 is 1

LCM of denominators i.e. for 716,804 is 143916.

Thus, GCF of Fractions is 1/143916.Finally, GCF of Fractions for 8393/716, 3935/804 is 1/143916.