Greatest Common Factor of 4689/470, 2308/794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4689/470, 2308/794

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 4689/470,2308/794

Given fractions are 4689/470,2308/794

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 4689,2308

Greatest Common Factor of Numerators i.e. GCF of 4689,2308 is 1 .

LCM of Denominators means LCM of 470,794 as per the given fractions.

LCM of 470,794 is 186590 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4689,2308

GCF of Fractions 4689/470,2308/794 is 1/186590

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

Greatest Common Factor of 4689,2308 By Matching Biggest Common Factor Method

Greatest Common Factor of 4689,2308 By Matching Biggest Common Factor Method

Factors of 4689

List of positive integer factors of 4689 that divides 4689 without a remainder.

1,3,9,521,1563,4689

Factors of 2308

List of positive integer factors of 2308 that divides 2308 without a remainder.

1,2,4,577,1154,2308

Greatest Common Factor

We found the factors 4689,2308 . The biggest common factor number is the GCF number.
So the greatest common factor 4689,2308 is 1.

Lets's calculate LCM of 470,794

2 470, 794
235, 397

∴ So the LCM of the given numbers is 2 x 235 x 397 = 186590

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/186590

Therefore, the GCF of Fractions 4689/470,2308/794 is 1/186590

Least Common Multiple of 470,794 with GCF Formula

Least Common Multiple of 470,794 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 470,794 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(470,794) = 2

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

GCF(470,794) x common factors =2 x 1 = 2

LCM(470,794) = ( 470 × 794 ) / 2

LCM(470,794) = 373180 / 2

LCM(470,794) = 186590


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 4689/470, 2308/794

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 4689/470, 2308/794?

Answer: GCF of Numerators as per given numbers 4689/470, 2308/794 is

GCF of Numerators i.e. for 4689,2308 is 1

LCM of denominators i.e. for 470,794 is 186590.

Thus, GCF of Fractions is 1/186590.Finally, GCF of Fractions for 4689/470, 2308/794 is 1/186590.