Greatest Common Factor of 5588/323, 3136/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5588/323, 3136/226

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 5588/323,3136/226

Given fractions are 5588/323,3136/226

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 5588,3136

Greatest Common Factor of Numerators i.e. GCF of 5588,3136 is 4 .

LCM of Denominators means LCM of 323,226 as per the given fractions.

LCM of 323,226 is 72998 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5588,3136

GCF of Fractions 5588/323,3136/226 is 4/72998

2 5588, 3136
2 2794, 1568
1397, 784

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

Greatest Common Factor of 5588,3136 By Matching Biggest Common Factor Method

Greatest Common Factor of 5588,3136 By Matching Biggest Common Factor Method

Factors of 5588

List of positive integer factors of 5588 that divides 5588 without a remainder.

1,2,4,11,22,44,127,254,508,1397,2794,5588

Factors of 3136

List of positive integer factors of 3136 that divides 3136 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,196,224,392,448,784,1568,3136

Greatest Common Factor

We found the factors 5588,3136 . The biggest common factor number is the GCF number.
So the greatest common factor 5588,3136 is 4.

Lets's calculate LCM of 323,226

Given numbers has no common factors except 1. So, there LCM is their product i.e 72998

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/72998

Therefore, the GCF of Fractions 5588/323,3136/226 is 4/72998

Least Common Multiple of 323,226 with GCF Formula

Least Common Multiple of 323,226 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 323,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,226) = 1

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

GCF(323,226) x common factors =1 x 1 = 1

LCM(323,226) = ( 323 × 226 ) / 1

LCM(323,226) = 72998 / 1

LCM(323,226) = 72998


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 5588/323, 3136/226

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 5588/323, 3136/226?

Answer: GCF of Numerators as per given numbers 5588/323, 3136/226 is

GCF of Numerators i.e. for 5588,3136 is 4

LCM of denominators i.e. for 323,226 is 72998.

Thus, GCF of Fractions is 4/72998.Finally, GCF of Fractions for 5588/323, 3136/226 is 4/72998.