Greatest Common Factor of 795/8004, 789/2903

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 795/8004, 789/2903

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 795/8004,789/2903

Given fractions are 795/8004,789/2903

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 795,789

Greatest Common Factor of Numerators i.e. GCF of 795,789 is 3 .

LCM of Denominators means LCM of 8004,2903 as per the given fractions.

LCM of 8004,2903 is 23235612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 795,789

GCF of Fractions 795/8004,789/2903 is 3/23235612

3 795, 789
265, 263

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

Greatest Common Factor of 795,789 By Matching Biggest Common Factor Method

Greatest Common Factor of 795,789 By Matching Biggest Common Factor Method

Factors of 795

List of positive integer factors of 795 that divides 795 without a remainder.

1,3,5,15,53,159,265,795

Factors of 789

List of positive integer factors of 789 that divides 789 without a remainder.

1,3,263,789

Greatest Common Factor

We found the factors 795,789 . The biggest common factor number is the GCF number.
So the greatest common factor 795,789 is 3.

Lets's calculate LCM of 8004,2903

Given numbers has no common factors except 1. So, there LCM is their product i.e 23235612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/23235612

Therefore, the GCF of Fractions 795/8004,789/2903 is 3/23235612

Least Common Multiple of 8004,2903 with GCF Formula

Least Common Multiple of 8004,2903 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 8004,2903 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(8004,2903) = 1

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

GCF(8004,2903) x common factors =1 x 1 = 1

LCM(8004,2903) = ( 8004 × 2903 ) / 1

LCM(8004,2903) = 23235612 / 1

LCM(8004,2903) = 23235612


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 795/8004, 789/2903

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 795/8004, 789/2903?

Answer: GCF of Numerators as per given numbers 795/8004, 789/2903 is

GCF of Numerators i.e. for 795,789 is 3

LCM of denominators i.e. for 8004,2903 is 23235612.

Thus, GCF of Fractions is 3/23235612.Finally, GCF of Fractions for 795/8004, 789/2903 is 3/23235612.