Greatest Common Factor of 791/75, 597/54, 787/18

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 791/75, 597/54, 787/18

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 791/75,597/54,787/18

Given fractions are 791/75,597/54,787/18

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 791,597,787

Greatest Common Factor of Numerators i.e. GCF of 791,597,787 is 1 .

LCM of Denominators means LCM of 75,54,18 as per the given fractions.

LCM of 75,54,18 is 1350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 791,597,787

GCF of Fractions 791/75,597/54,787/18 is 1/1350

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

Greatest Common Factor of 791,597,787 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,597,787 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 597

List of positive integer factors of 597 that divides 597 without a remainder.

1,3,199,597

Factors of 787

List of positive integer factors of 787 that divides 787 without a remainder.

1,787

Greatest Common Factor

We found the factors 791,597,787 . The biggest common factor number is the GCF number.
So the greatest common factor 791,597,787 is 1.

Lets's calculate LCM of 75,54,18

2 75, 54, 18
3 75, 27, 9
3 25, 3, 9
25, 1, 3

∴ So the LCM of the given numbers is 2 x 3 x 3 x 25 x 1 x 3 = 1350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1350

Therefore, the GCF of Fractions 791/75,597/54,787/18 is 1/1350

Least Common Multiple of 75,54,18 with GCF Formula

Least Common Multiple of 75,54,18 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 75,54,18 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,54,18) = 3

common factors(in case of two or more numbers have common factors) = 18

GCF(75,54,18) x common factors =3 x 18 = 54

LCM(75,54,18) = ( 75 × 54 × 18 ) / 54

LCM(75,54,18) = 72900 / 54

LCM(75,54,18) = 1350


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 791/75, 597/54, 787/18

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 791/75, 597/54, 787/18?

Answer: GCF of Numerators as per given numbers 791/75, 597/54, 787/18 is

GCF of Numerators i.e. for 791,597,787 is 1

LCM of denominators i.e. for 75,54,18 is 1350.

Thus, GCF of Fractions is 1/1350.Finally, GCF of Fractions for 791/75, 597/54, 787/18 is 1/1350.