Greatest Common Factor of 5280/29, 5736/449

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5280/29, 5736/449

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 5280/29,5736/449

Given fractions are 5280/29,5736/449

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 5280,5736

Greatest Common Factor of Numerators i.e. GCF of 5280,5736 is 24 .

LCM of Denominators means LCM of 29,449 as per the given fractions.

LCM of 29,449 is 13021 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5280,5736

GCF of Fractions 5280/29,5736/449 is 24/13021

2 5280, 5736
2 2640, 2868
2 1320, 1434
3 660, 717
220, 239

∴ So the GCF of the given numbers is 2 x 2 x 2 x 3 = 24

Greatest Common Factor of 5280,5736 By Matching Biggest Common Factor Method

Greatest Common Factor of 5280,5736 By Matching Biggest Common Factor Method

Factors of 5280

List of positive integer factors of 5280 that divides 5280 without a remainder.

1,2,3,4,5,6,8,10,11,12,15,16,20,22,24,30,32,33,40,44,48,55,60,66,80,88,96,110,120,132,160,165,176,220,240,264,330,352,440,480,528,660,880,1056,1320,1760,2640,5280

Factors of 5736

List of positive integer factors of 5736 that divides 5736 without a remainder.

1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736

Greatest Common Factor

We found the factors 5280,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 5280,5736 is 24.

Lets's calculate LCM of 29,449

Given numbers has no common factors except 1. So, there LCM is their product i.e 13021

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 24/13021

Therefore, the GCF of Fractions 5280/29,5736/449 is 24/13021

Least Common Multiple of 29,449 with GCF Formula

Least Common Multiple of 29,449 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 29,449 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,449) = 1

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

GCF(29,449) x common factors =1 x 1 = 1

LCM(29,449) = ( 29 × 449 ) / 1

LCM(29,449) = 13021 / 1

LCM(29,449) = 13021


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 5280/29, 5736/449

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 5280/29, 5736/449?

Answer: GCF of Numerators as per given numbers 5280/29, 5736/449 is

GCF of Numerators i.e. for 5280,5736 is 24

LCM of denominators i.e. for 29,449 is 13021.

Thus, GCF of Fractions is 24/13021.Finally, GCF of Fractions for 5280/29, 5736/449 is 24/13021.