Greatest Common Factor of 5795/459, 2336/8004

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5795/459, 2336/8004

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 5795/459,2336/8004

Given fractions are 5795/459,2336/8004

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 5795,2336

Greatest Common Factor of Numerators i.e. GCF of 5795,2336 is 1 .

LCM of Denominators means LCM of 459,8004 as per the given fractions.

LCM of 459,8004 is 1224612 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5795,2336

GCF of Fractions 5795/459,2336/8004 is 1/1224612

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

Greatest Common Factor of 5795,2336 By Matching Biggest Common Factor Method

Greatest Common Factor of 5795,2336 By Matching Biggest Common Factor Method

Factors of 5795

List of positive integer factors of 5795 that divides 5795 without a remainder.

1,5,19,61,95,305,1159,5795

Factors of 2336

List of positive integer factors of 2336 that divides 2336 without a remainder.

1,2,4,8,16,32,73,146,292,584,1168,2336

Greatest Common Factor

We found the factors 5795,2336 . The biggest common factor number is the GCF number.
So the greatest common factor 5795,2336 is 1.

Lets's calculate LCM of 459,8004

3 459, 8004
153, 2668

∴ So the LCM of the given numbers is 3 x 153 x 2668 = 1224612

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1224612

Therefore, the GCF of Fractions 5795/459,2336/8004 is 1/1224612

Least Common Multiple of 459,8004 with GCF Formula

Least Common Multiple of 459,8004 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 459,8004 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,8004) = 3

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

GCF(459,8004) x common factors =3 x 1 = 3

LCM(459,8004) = ( 459 × 8004 ) / 3

LCM(459,8004) = 3673836 / 3

LCM(459,8004) = 1224612


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 5795/459, 2336/8004

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 5795/459, 2336/8004?

Answer: GCF of Numerators as per given numbers 5795/459, 2336/8004 is

GCF of Numerators i.e. for 5795,2336 is 1

LCM of denominators i.e. for 459,8004 is 1224612.

Thus, GCF of Fractions is 1/1224612.Finally, GCF of Fractions for 5795/459, 2336/8004 is 1/1224612.