Greatest Common Factor of 1783/779, 8034/339

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1783/779, 8034/339

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 1783/779,8034/339

Given fractions are 1783/779,8034/339

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 1783,8034

Greatest Common Factor of Numerators i.e. GCF of 1783,8034 is 1 .

LCM of Denominators means LCM of 779,339 as per the given fractions.

LCM of 779,339 is 264081 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1783,8034

GCF of Fractions 1783/779,8034/339 is 1/264081

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

Greatest Common Factor of 1783,8034 By Matching Biggest Common Factor Method

Greatest Common Factor of 1783,8034 By Matching Biggest Common Factor Method

Factors of 1783

List of positive integer factors of 1783 that divides 1783 without a remainder.

1,1783

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Greatest Common Factor

We found the factors 1783,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 1783,8034 is 1.

Lets's calculate LCM of 779,339

Given numbers has no common factors except 1. So, there LCM is their product i.e 264081

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/264081

Therefore, the GCF of Fractions 1783/779,8034/339 is 1/264081

Least Common Multiple of 779,339 with GCF Formula

Least Common Multiple of 779,339 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 779,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(779,339) = 1

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

GCF(779,339) x common factors =1 x 1 = 1

LCM(779,339) = ( 779 × 339 ) / 1

LCM(779,339) = 264081 / 1

LCM(779,339) = 264081


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 1783/779, 8034/339

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 1783/779, 8034/339?

Answer: GCF of Numerators as per given numbers 1783/779, 8034/339 is

GCF of Numerators i.e. for 1783,8034 is 1

LCM of denominators i.e. for 779,339 is 264081.

Thus, GCF of Fractions is 1/264081.Finally, GCF of Fractions for 1783/779, 8034/339 is 1/264081.