Greatest Common Factor of 6272/894, 4240/6368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6272/894, 4240/6368

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 6272/894,4240/6368

Given fractions are 6272/894,4240/6368

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 6272,4240

Greatest Common Factor of Numerators i.e. GCF of 6272,4240 is 16 .

LCM of Denominators means LCM of 894,6368 as per the given fractions.

LCM of 894,6368 is 2846496 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6272,4240

GCF of Fractions 6272/894,4240/6368 is 16/2846496

2 6272, 4240
2 3136, 2120
2 1568, 1060
2 784, 530
392, 265

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 = 16

Greatest Common Factor of 6272,4240 By Matching Biggest Common Factor Method

Greatest Common Factor of 6272,4240 By Matching Biggest Common Factor Method

Factors of 6272

List of positive integer factors of 6272 that divides 6272 without a remainder.

1,2,4,7,8,14,16,28,32,49,56,64,98,112,128,196,224,392,448,784,896,1568,3136,6272

Factors of 4240

List of positive integer factors of 4240 that divides 4240 without a remainder.

1,2,4,5,8,10,16,20,40,53,80,106,212,265,424,530,848,1060,2120,4240

Greatest Common Factor

We found the factors 6272,4240 . The biggest common factor number is the GCF number.
So the greatest common factor 6272,4240 is 16.

Lets's calculate LCM of 894,6368

2 894, 6368
447, 3184

∴ So the LCM of the given numbers is 2 x 447 x 3184 = 2846496

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 16/2846496

Therefore, the GCF of Fractions 6272/894,4240/6368 is 16/2846496

Least Common Multiple of 894,6368 with GCF Formula

Least Common Multiple of 894,6368 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 894,6368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(894,6368) = 2

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

GCF(894,6368) x common factors =2 x 1 = 2

LCM(894,6368) = ( 894 × 6368 ) / 2

LCM(894,6368) = 5692992 / 2

LCM(894,6368) = 2846496


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 6272/894, 4240/6368

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 6272/894, 4240/6368?

Answer: GCF of Numerators as per given numbers 6272/894, 4240/6368 is

GCF of Numerators i.e. for 6272,4240 is 16

LCM of denominators i.e. for 894,6368 is 2846496.

Thus, GCF of Fractions is 16/2846496.Finally, GCF of Fractions for 6272/894, 4240/6368 is 16/2846496.