Greatest Common Factor of 5640/256, 4400/444

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5640/256, 4400/444

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 5640/256,4400/444

Given fractions are 5640/256,4400/444

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 5640,4400

Greatest Common Factor of Numerators i.e. GCF of 5640,4400 is 40 .

LCM of Denominators means LCM of 256,444 as per the given fractions.

LCM of 256,444 is 28416 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5640,4400

GCF of Fractions 5640/256,4400/444 is 40/28416

2 5640, 4400
2 2820, 2200
2 1410, 1100
5 705, 550
141, 110

∴ So the GCF of the given numbers is 2 x 2 x 2 x 5 = 40

Greatest Common Factor of 5640,4400 By Matching Biggest Common Factor Method

Greatest Common Factor of 5640,4400 By Matching Biggest Common Factor Method

Factors of 5640

List of positive integer factors of 5640 that divides 5640 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,47,60,94,120,141,188,235,282,376,470,564,705,940,1128,1410,1880,2820,5640

Factors of 4400

List of positive integer factors of 4400 that divides 4400 without a remainder.

1,2,4,5,8,10,11,16,20,22,25,40,44,50,55,80,88,100,110,176,200,220,275,400,440,550,880,1100,2200,4400

Greatest Common Factor

We found the factors 5640,4400 . The biggest common factor number is the GCF number.
So the greatest common factor 5640,4400 is 40.

Lets's calculate LCM of 256,444

2 256, 444
2 128, 222
64, 111

∴ So the LCM of the given numbers is 2 x 2 x 64 x 111 = 28416

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 40/28416

Therefore, the GCF of Fractions 5640/256,4400/444 is 40/28416

Least Common Multiple of 256,444 with GCF Formula

Least Common Multiple of 256,444 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 256,444 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(256,444) = 4

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

GCF(256,444) x common factors =4 x 1 = 4

LCM(256,444) = ( 256 × 444 ) / 4

LCM(256,444) = 113664 / 4

LCM(256,444) = 28416


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 5640/256, 4400/444

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 5640/256, 4400/444?

Answer: GCF of Numerators as per given numbers 5640/256, 4400/444 is

GCF of Numerators i.e. for 5640,4400 is 40

LCM of denominators i.e. for 256,444 is 28416.

Thus, GCF of Fractions is 40/28416.Finally, GCF of Fractions for 5640/256, 4400/444 is 40/28416.