Greatest Common Factor of 4916/57, 4036/269

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4916/57, 4036/269

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 4916/57,4036/269

Given fractions are 4916/57,4036/269

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 4916,4036

Greatest Common Factor of Numerators i.e. GCF of 4916,4036 is 4 .

LCM of Denominators means LCM of 57,269 as per the given fractions.

LCM of 57,269 is 15333 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4916,4036

GCF of Fractions 4916/57,4036/269 is 4/15333

2 4916, 4036
2 2458, 2018
1229, 1009

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4916,4036 By Matching Biggest Common Factor Method

Greatest Common Factor of 4916,4036 By Matching Biggest Common Factor Method

Factors of 4916

List of positive integer factors of 4916 that divides 4916 without a remainder.

1,2,4,1229,2458,4916

Factors of 4036

List of positive integer factors of 4036 that divides 4036 without a remainder.

1,2,4,1009,2018,4036

Greatest Common Factor

We found the factors 4916,4036 . The biggest common factor number is the GCF number.
So the greatest common factor 4916,4036 is 4.

Lets's calculate LCM of 57,269

Given numbers has no common factors except 1. So, there LCM is their product i.e 15333

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/15333

Therefore, the GCF of Fractions 4916/57,4036/269 is 4/15333

Least Common Multiple of 57,269 with GCF Formula

Least Common Multiple of 57,269 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 57,269 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,269) = 1

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

GCF(57,269) x common factors =1 x 1 = 1

LCM(57,269) = ( 57 × 269 ) / 1

LCM(57,269) = 15333 / 1

LCM(57,269) = 15333


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 4916/57, 4036/269

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 4916/57, 4036/269?

Answer: GCF of Numerators as per given numbers 4916/57, 4036/269 is

GCF of Numerators i.e. for 4916,4036 is 4

LCM of denominators i.e. for 57,269 is 15333.

Thus, GCF of Fractions is 4/15333.Finally, GCF of Fractions for 4916/57, 4036/269 is 4/15333.