Greatest Common Factor of 4511/13, 2847/313

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4511/13, 2847/313

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 4511/13,2847/313

Given fractions are 4511/13,2847/313

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 4511,2847

Greatest Common Factor of Numerators i.e. GCF of 4511,2847 is 13 .

LCM of Denominators means LCM of 13,313 as per the given fractions.

LCM of 13,313 is 4069 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4511,2847

GCF of Fractions 4511/13,2847/313 is 13/4069

13 4511, 2847
347, 219

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

Greatest Common Factor of 4511,2847 By Matching Biggest Common Factor Method

Greatest Common Factor of 4511,2847 By Matching Biggest Common Factor Method

Factors of 4511

List of positive integer factors of 4511 that divides 4511 without a remainder.

1,13,347,4511

Factors of 2847

List of positive integer factors of 2847 that divides 2847 without a remainder.

1,3,13,39,73,219,949,2847

Greatest Common Factor

We found the factors 4511,2847 . The biggest common factor number is the GCF number.
So the greatest common factor 4511,2847 is 13.

Lets's calculate LCM of 13,313

Given numbers has no common factors except 1. So, there LCM is their product i.e 4069

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4069

Therefore, the GCF of Fractions 4511/13,2847/313 is 13/4069

Least Common Multiple of 13,313 with GCF Formula

Least Common Multiple of 13,313 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 13,313 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(13,313) = 1

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

GCF(13,313) x common factors =1 x 1 = 1

LCM(13,313) = ( 13 × 313 ) / 1

LCM(13,313) = 4069 / 1

LCM(13,313) = 4069


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 4511/13, 2847/313

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 4511/13, 2847/313?

Answer: GCF of Numerators as per given numbers 4511/13, 2847/313 is

GCF of Numerators i.e. for 4511,2847 is 13

LCM of denominators i.e. for 13,313 is 4069.

Thus, GCF of Fractions is 13/4069.Finally, GCF of Fractions for 4511/13, 2847/313 is 13/4069.