Greatest Common Factor of 2329/387, 1759/4695

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2329/387, 1759/4695

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 2329/387,1759/4695

Given fractions are 2329/387,1759/4695

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 2329,1759

Greatest Common Factor of Numerators i.e. GCF of 2329,1759 is 1 .

LCM of Denominators means LCM of 387,4695 as per the given fractions.

LCM of 387,4695 is 605655 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2329,1759

GCF of Fractions 2329/387,1759/4695 is 1/605655

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

Greatest Common Factor of 2329,1759 By Matching Biggest Common Factor Method

Greatest Common Factor of 2329,1759 By Matching Biggest Common Factor Method

Factors of 2329

List of positive integer factors of 2329 that divides 2329 without a remainder.

1,17,137,2329

Factors of 1759

List of positive integer factors of 1759 that divides 1759 without a remainder.

1,1759

Greatest Common Factor

We found the factors 2329,1759 . The biggest common factor number is the GCF number.
So the greatest common factor 2329,1759 is 1.

Lets's calculate LCM of 387,4695

3 387, 4695
129, 1565

∴ So the LCM of the given numbers is 3 x 129 x 1565 = 605655

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/605655

Therefore, the GCF of Fractions 2329/387,1759/4695 is 1/605655

Least Common Multiple of 387,4695 with GCF Formula

Least Common Multiple of 387,4695 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 387,4695 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(387,4695) = 3

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

GCF(387,4695) x common factors =3 x 1 = 3

LCM(387,4695) = ( 387 × 4695 ) / 3

LCM(387,4695) = 1816965 / 3

LCM(387,4695) = 605655


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 2329/387, 1759/4695

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 2329/387, 1759/4695?

Answer: GCF of Numerators as per given numbers 2329/387, 1759/4695 is

GCF of Numerators i.e. for 2329,1759 is 1

LCM of denominators i.e. for 387,4695 is 605655.

Thus, GCF of Fractions is 1/605655.Finally, GCF of Fractions for 2329/387, 1759/4695 is 1/605655.