Greatest Common Factor of 2627/11, 2343/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2627/11, 2343/553

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 2627/11,2343/553

Given fractions are 2627/11,2343/553

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 2627,2343

Greatest Common Factor of Numerators i.e. GCF of 2627,2343 is 71 .

LCM of Denominators means LCM of 11,553 as per the given fractions.

LCM of 11,553 is 6083 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2627,2343

GCF of Fractions 2627/11,2343/553 is 71/6083

71 2627, 2343
37, 33

∴ So the GCF of the given numbers is 71 = 71

Greatest Common Factor of 2627,2343 By Matching Biggest Common Factor Method

Greatest Common Factor of 2627,2343 By Matching Biggest Common Factor Method

Factors of 2627

List of positive integer factors of 2627 that divides 2627 without a remainder.

1,37,71,2627

Factors of 2343

List of positive integer factors of 2343 that divides 2343 without a remainder.

1,3,11,33,71,213,781,2343

Greatest Common Factor

We found the factors 2627,2343 . The biggest common factor number is the GCF number.
So the greatest common factor 2627,2343 is 71.

Lets's calculate LCM of 11,553

Given numbers has no common factors except 1. So, there LCM is their product i.e 6083

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 71/6083

Therefore, the GCF of Fractions 2627/11,2343/553 is 71/6083

Least Common Multiple of 11,553 with GCF Formula

Least Common Multiple of 11,553 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 11,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(11,553) = 1

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

GCF(11,553) x common factors =1 x 1 = 1

LCM(11,553) = ( 11 × 553 ) / 1

LCM(11,553) = 6083 / 1

LCM(11,553) = 6083


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 2627/11, 2343/553

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 2627/11, 2343/553?

Answer: GCF of Numerators as per given numbers 2627/11, 2343/553 is

GCF of Numerators i.e. for 2627,2343 is 71

LCM of denominators i.e. for 11,553 is 6083.

Thus, GCF of Fractions is 71/6083.Finally, GCF of Fractions for 2627/11, 2343/553 is 71/6083.