Greatest Common Factor of 5436/88, 2403/556

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5436/88, 2403/556

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 5436/88,2403/556

Given fractions are 5436/88,2403/556

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 5436,2403

Greatest Common Factor of Numerators i.e. GCF of 5436,2403 is 9 .

LCM of Denominators means LCM of 88,556 as per the given fractions.

LCM of 88,556 is 12232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5436,2403

GCF of Fractions 5436/88,2403/556 is 9/12232

3 5436, 2403
3 1812, 801
604, 267

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 5436,2403 By Matching Biggest Common Factor Method

Greatest Common Factor of 5436,2403 By Matching Biggest Common Factor Method

Factors of 5436

List of positive integer factors of 5436 that divides 5436 without a remainder.

1,2,3,4,6,9,12,18,36,151,302,453,604,906,1359,1812,2718,5436

Factors of 2403

List of positive integer factors of 2403 that divides 2403 without a remainder.

1,3,9,27,89,267,801,2403

Greatest Common Factor

We found the factors 5436,2403 . The biggest common factor number is the GCF number.
So the greatest common factor 5436,2403 is 9.

Lets's calculate LCM of 88,556

2 88, 556
2 44, 278
22, 139

∴ So the LCM of the given numbers is 2 x 2 x 22 x 139 = 12232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/12232

Therefore, the GCF of Fractions 5436/88,2403/556 is 9/12232

Least Common Multiple of 88,556 with GCF Formula

Least Common Multiple of 88,556 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 88,556 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(88,556) = 4

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

GCF(88,556) x common factors =4 x 1 = 4

LCM(88,556) = ( 88 × 556 ) / 4

LCM(88,556) = 48928 / 4

LCM(88,556) = 12232


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 5436/88, 2403/556

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 5436/88, 2403/556?

Answer: GCF of Numerators as per given numbers 5436/88, 2403/556 is

GCF of Numerators i.e. for 5436,2403 is 9

LCM of denominators i.e. for 88,556 is 12232.

Thus, GCF of Fractions is 9/12232.Finally, GCF of Fractions for 5436/88, 2403/556 is 9/12232.