Greatest Common Factor of 618/39, 697/1743

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 618/39, 697/1743

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 618/39,697/1743

Given fractions are 618/39,697/1743

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 618,697

Greatest Common Factor of Numerators i.e. GCF of 618,697 is 1 .

LCM of Denominators means LCM of 39,1743 as per the given fractions.

LCM of 39,1743 is 22659 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 618,697

GCF of Fractions 618/39,697/1743 is 1/22659

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

Greatest Common Factor of 618,697 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,697 By Matching Biggest Common Factor Method

Factors of 618

List of positive integer factors of 618 that divides 618 without a remainder.

1,2,3,6,103,206,309,618

Factors of 697

List of positive integer factors of 697 that divides 697 without a remainder.

1,17,41,697

Greatest Common Factor

We found the factors 618,697 . The biggest common factor number is the GCF number.
So the greatest common factor 618,697 is 1.

Lets's calculate LCM of 39,1743

3 39, 1743
13, 581

∴ So the LCM of the given numbers is 3 x 13 x 581 = 22659

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22659

Therefore, the GCF of Fractions 618/39,697/1743 is 1/22659

Least Common Multiple of 39,1743 with GCF Formula

Least Common Multiple of 39,1743 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 39,1743 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(39,1743) = 3

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

GCF(39,1743) x common factors =3 x 1 = 3

LCM(39,1743) = ( 39 × 1743 ) / 3

LCM(39,1743) = 67977 / 3

LCM(39,1743) = 22659


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 618/39, 697/1743

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 618/39, 697/1743?

Answer: GCF of Numerators as per given numbers 618/39, 697/1743 is

GCF of Numerators i.e. for 618,697 is 1

LCM of denominators i.e. for 39,1743 is 22659.

Thus, GCF of Fractions is 1/22659.Finally, GCF of Fractions for 618/39, 697/1743 is 1/22659.