Greatest Common Factor of 8393/559, 6782/255

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8393/559, 6782/255

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 8393/559,6782/255

Given fractions are 8393/559,6782/255

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 8393,6782

Greatest Common Factor of Numerators i.e. GCF of 8393,6782 is 1 .

LCM of Denominators means LCM of 559,255 as per the given fractions.

LCM of 559,255 is 142545 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8393,6782

GCF of Fractions 8393/559,6782/255 is 1/142545

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

Greatest Common Factor of 8393,6782 By Matching Biggest Common Factor Method

Greatest Common Factor of 8393,6782 By Matching Biggest Common Factor Method

Factors of 8393

List of positive integer factors of 8393 that divides 8393 without a remainder.

1,7,11,77,109,763,1199,8393

Factors of 6782

List of positive integer factors of 6782 that divides 6782 without a remainder.

1,2,3391,6782

Greatest Common Factor

We found the factors 8393,6782 . The biggest common factor number is the GCF number.
So the greatest common factor 8393,6782 is 1.

Lets's calculate LCM of 559,255

Given numbers has no common factors except 1. So, there LCM is their product i.e 142545

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142545

Therefore, the GCF of Fractions 8393/559,6782/255 is 1/142545

Least Common Multiple of 559,255 with GCF Formula

Least Common Multiple of 559,255 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 559,255 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(559,255) = 1

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

GCF(559,255) x common factors =1 x 1 = 1

LCM(559,255) = ( 559 × 255 ) / 1

LCM(559,255) = 142545 / 1

LCM(559,255) = 142545


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 8393/559, 6782/255

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 8393/559, 6782/255?

Answer: GCF of Numerators as per given numbers 8393/559, 6782/255 is

GCF of Numerators i.e. for 8393,6782 is 1

LCM of denominators i.e. for 559,255 is 142545.

Thus, GCF of Fractions is 1/142545.Finally, GCF of Fractions for 8393/559, 6782/255 is 1/142545.