Greatest Common Factor of 4784/265, 2717/442

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4784/265, 2717/442

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 4784/265,2717/442

Given fractions are 4784/265,2717/442

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 4784,2717

Greatest Common Factor of Numerators i.e. GCF of 4784,2717 is 13 .

LCM of Denominators means LCM of 265,442 as per the given fractions.

LCM of 265,442 is 117130 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4784,2717

GCF of Fractions 4784/265,2717/442 is 13/117130

13 4784, 2717
368, 209

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4784,2717 By Matching Biggest Common Factor Method

Greatest Common Factor of 4784,2717 By Matching Biggest Common Factor Method

Factors of 4784

List of positive integer factors of 4784 that divides 4784 without a remainder.

1,2,4,8,13,16,23,26,46,52,92,104,184,208,299,368,598,1196,2392,4784

Factors of 2717

List of positive integer factors of 2717 that divides 2717 without a remainder.

1,11,13,19,143,209,247,2717

Greatest Common Factor

We found the factors 4784,2717 . The biggest common factor number is the GCF number.
So the greatest common factor 4784,2717 is 13.

Lets's calculate LCM of 265,442

Given numbers has no common factors except 1. So, there LCM is their product i.e 117130

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/117130

Therefore, the GCF of Fractions 4784/265,2717/442 is 13/117130

Least Common Multiple of 265,442 with GCF Formula

Least Common Multiple of 265,442 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 265,442 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(265,442) = 1

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

GCF(265,442) x common factors =1 x 1 = 1

LCM(265,442) = ( 265 × 442 ) / 1

LCM(265,442) = 117130 / 1

LCM(265,442) = 117130


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 4784/265, 2717/442

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 4784/265, 2717/442?

Answer: GCF of Numerators as per given numbers 4784/265, 2717/442 is

GCF of Numerators i.e. for 4784,2717 is 13

LCM of denominators i.e. for 265,442 is 117130.

Thus, GCF of Fractions is 13/117130.Finally, GCF of Fractions for 4784/265, 2717/442 is 13/117130.