Greatest Common Factor of 6438/48, 8203/568

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6438/48, 8203/568

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 6438/48,8203/568

Given fractions are 6438/48,8203/568

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 6438,8203

Greatest Common Factor of Numerators i.e. GCF of 6438,8203 is 1 .

LCM of Denominators means LCM of 48,568 as per the given fractions.

LCM of 48,568 is 3408 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6438,8203

GCF of Fractions 6438/48,8203/568 is 1/3408

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 6438,8203 By Matching Biggest Common Factor Method

Greatest Common Factor of 6438,8203 By Matching Biggest Common Factor Method

Factors of 6438

List of positive integer factors of 6438 that divides 6438 without a remainder.

1,2,3,6,29,37,58,74,87,111,174,222,1073,2146,3219,6438

Factors of 8203

List of positive integer factors of 8203 that divides 8203 without a remainder.

1,13,631,8203

Greatest Common Factor

We found the factors 6438,8203 . The biggest common factor number is the GCF number.
So the greatest common factor 6438,8203 is 1.

Lets's calculate LCM of 48,568

2 48, 568
2 24, 284
2 12, 142
6, 71

∴ So the LCM of the given numbers is 2 x 2 x 2 x 6 x 71 = 3408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3408

Therefore, the GCF of Fractions 6438/48,8203/568 is 1/3408

Least Common Multiple of 48,568 with GCF Formula

Least Common Multiple of 48,568 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 48,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(48,568) = 8

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

GCF(48,568) x common factors =8 x 1 = 8

LCM(48,568) = ( 48 × 568 ) / 8

LCM(48,568) = 27264 / 8

LCM(48,568) = 3408


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 6438/48, 8203/568

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 6438/48, 8203/568?

Answer: GCF of Numerators as per given numbers 6438/48, 8203/568 is

GCF of Numerators i.e. for 6438,8203 is 1

LCM of denominators i.e. for 48,568 is 3408.

Thus, GCF of Fractions is 1/3408.Finally, GCF of Fractions for 6438/48, 8203/568 is 1/3408.