Greatest Common Factor of 5536/48, 1441/723

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5536/48, 1441/723

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 5536/48,1441/723

Given fractions are 5536/48,1441/723

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 5536,1441

Greatest Common Factor of Numerators i.e. GCF of 5536,1441 is 1 .

LCM of Denominators means LCM of 48,723 as per the given fractions.

LCM of 48,723 is 11568 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5536,1441

GCF of Fractions 5536/48,1441/723 is 1/11568

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 5536,1441 By Matching Biggest Common Factor Method

Greatest Common Factor of 5536,1441 By Matching Biggest Common Factor Method

Factors of 5536

List of positive integer factors of 5536 that divides 5536 without a remainder.

1,2,4,8,16,32,173,346,692,1384,2768,5536

Factors of 1441

List of positive integer factors of 1441 that divides 1441 without a remainder.

1,11,131,1441

Greatest Common Factor

We found the factors 5536,1441 . The biggest common factor number is the GCF number.
So the greatest common factor 5536,1441 is 1.

Lets's calculate LCM of 48,723

3 48, 723
16, 241

∴ So the LCM of the given numbers is 3 x 16 x 241 = 11568

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11568

Therefore, the GCF of Fractions 5536/48,1441/723 is 1/11568

Least Common Multiple of 48,723 with GCF Formula

Least Common Multiple of 48,723 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 48,723 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,723) = 3

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

GCF(48,723) x common factors =3 x 1 = 3

LCM(48,723) = ( 48 × 723 ) / 3

LCM(48,723) = 34704 / 3

LCM(48,723) = 11568


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 5536/48, 1441/723

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 5536/48, 1441/723?

Answer: GCF of Numerators as per given numbers 5536/48, 1441/723 is

GCF of Numerators i.e. for 5536,1441 is 1

LCM of denominators i.e. for 48,723 is 11568.

Thus, GCF of Fractions is 1/11568.Finally, GCF of Fractions for 5536/48, 1441/723 is 1/11568.