Greatest Common Factor of 5750/46, 2638/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5750/46, 2638/448

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 5750/46,2638/448

Given fractions are 5750/46,2638/448

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 5750,2638

Greatest Common Factor of Numerators i.e. GCF of 5750,2638 is 2 .

LCM of Denominators means LCM of 46,448 as per the given fractions.

LCM of 46,448 is 10304 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5750,2638

GCF of Fractions 5750/46,2638/448 is 2/10304

2 5750, 2638
2875, 1319

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

Greatest Common Factor of 5750,2638 By Matching Biggest Common Factor Method

Greatest Common Factor of 5750,2638 By Matching Biggest Common Factor Method

Factors of 5750

List of positive integer factors of 5750 that divides 5750 without a remainder.

1,2,5,10,23,25,46,50,115,125,230,250,575,1150,2875,5750

Factors of 2638

List of positive integer factors of 2638 that divides 2638 without a remainder.

1,2,1319,2638

Greatest Common Factor

We found the factors 5750,2638 . The biggest common factor number is the GCF number.
So the greatest common factor 5750,2638 is 2.

Lets's calculate LCM of 46,448

2 46, 448
23, 224

∴ So the LCM of the given numbers is 2 x 23 x 224 = 10304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10304

Therefore, the GCF of Fractions 5750/46,2638/448 is 2/10304

Least Common Multiple of 46,448 with GCF Formula

Least Common Multiple of 46,448 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 46,448 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,448) = 2

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

GCF(46,448) x common factors =2 x 1 = 2

LCM(46,448) = ( 46 × 448 ) / 2

LCM(46,448) = 20608 / 2

LCM(46,448) = 10304


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 5750/46, 2638/448

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 5750/46, 2638/448?

Answer: GCF of Numerators as per given numbers 5750/46, 2638/448 is

GCF of Numerators i.e. for 5750,2638 is 2

LCM of denominators i.e. for 46,448 is 10304.

Thus, GCF of Fractions is 2/10304.Finally, GCF of Fractions for 5750/46, 2638/448 is 2/10304.