Greatest Common Factor of 6728/595, 4396/8636

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6728/595, 4396/8636

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 6728/595,4396/8636

Given fractions are 6728/595,4396/8636

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 6728,4396

Greatest Common Factor of Numerators i.e. GCF of 6728,4396 is 4 .

LCM of Denominators means LCM of 595,8636 as per the given fractions.

LCM of 595,8636 is 302260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6728,4396

GCF of Fractions 6728/595,4396/8636 is 4/302260

2 6728, 4396
2 3364, 2198
1682, 1099

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 6728,4396 By Matching Biggest Common Factor Method

Greatest Common Factor of 6728,4396 By Matching Biggest Common Factor Method

Factors of 6728

List of positive integer factors of 6728 that divides 6728 without a remainder.

1,2,4,8,29,58,116,232,841,1682,3364,6728

Factors of 4396

List of positive integer factors of 4396 that divides 4396 without a remainder.

1,2,4,7,14,28,157,314,628,1099,2198,4396

Greatest Common Factor

We found the factors 6728,4396 . The biggest common factor number is the GCF number.
So the greatest common factor 6728,4396 is 4.

Lets's calculate LCM of 595,8636

17 595, 8636
35, 508

∴ So the LCM of the given numbers is 17 x 35 x 508 = 302260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/302260

Therefore, the GCF of Fractions 6728/595,4396/8636 is 4/302260

Least Common Multiple of 595,8636 with GCF Formula

Least Common Multiple of 595,8636 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 595,8636 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(595,8636) = 17

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

GCF(595,8636) x common factors =17 x 1 = 17

LCM(595,8636) = ( 595 × 8636 ) / 17

LCM(595,8636) = 5138420 / 17

LCM(595,8636) = 302260


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 6728/595, 4396/8636

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 6728/595, 4396/8636?

Answer: GCF of Numerators as per given numbers 6728/595, 4396/8636 is

GCF of Numerators i.e. for 6728,4396 is 4

LCM of denominators i.e. for 595,8636 is 302260.

Thus, GCF of Fractions is 4/302260.Finally, GCF of Fractions for 6728/595, 4396/8636 is 4/302260.