Greatest Common Factor of 5769/704, 2713/335

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5769/704, 2713/335

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 5769/704,2713/335

Given fractions are 5769/704,2713/335

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 5769,2713

Greatest Common Factor of Numerators i.e. GCF of 5769,2713 is 1 .

LCM of Denominators means LCM of 704,335 as per the given fractions.

LCM of 704,335 is 235840 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5769,2713

GCF of Fractions 5769/704,2713/335 is 1/235840

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

Greatest Common Factor of 5769,2713 By Matching Biggest Common Factor Method

Greatest Common Factor of 5769,2713 By Matching Biggest Common Factor Method

Factors of 5769

List of positive integer factors of 5769 that divides 5769 without a remainder.

1,3,9,641,1923,5769

Factors of 2713

List of positive integer factors of 2713 that divides 2713 without a remainder.

1,2713

Greatest Common Factor

We found the factors 5769,2713 . The biggest common factor number is the GCF number.
So the greatest common factor 5769,2713 is 1.

Lets's calculate LCM of 704,335

Given numbers has no common factors except 1. So, there LCM is their product i.e 235840

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/235840

Therefore, the GCF of Fractions 5769/704,2713/335 is 1/235840

Least Common Multiple of 704,335 with GCF Formula

Least Common Multiple of 704,335 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 704,335 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(704,335) = 1

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

GCF(704,335) x common factors =1 x 1 = 1

LCM(704,335) = ( 704 × 335 ) / 1

LCM(704,335) = 235840 / 1

LCM(704,335) = 235840


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 5769/704, 2713/335

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 5769/704, 2713/335?

Answer: GCF of Numerators as per given numbers 5769/704, 2713/335 is

GCF of Numerators i.e. for 5769,2713 is 1

LCM of denominators i.e. for 704,335 is 235840.

Thus, GCF of Fractions is 1/235840.Finally, GCF of Fractions for 5769/704, 2713/335 is 1/235840.