Greatest Common Factor of 787/72, 604/25, 766/39

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 787/72, 604/25, 766/39

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 787/72,604/25,766/39

Given fractions are 787/72,604/25,766/39

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 787,604,766

Greatest Common Factor of Numerators i.e. GCF of 787,604,766 is 1 .

LCM of Denominators means LCM of 72,25,39 as per the given fractions.

LCM of 72,25,39 is 23400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 787,604,766

GCF of Fractions 787/72,604/25,766/39 is 1/23400

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

Greatest Common Factor of 787,604,766 By Matching Biggest Common Factor Method

Greatest Common Factor of 787,604,766 By Matching Biggest Common Factor Method

Factors of 787

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

1,787

Factors of 604

List of positive integer factors of 604 that divides 604 without a remainder.

1,2,4,151,302,604

Factors of 766

List of positive integer factors of 766 that divides 766 without a remainder.

1,2,383,766

Greatest Common Factor

We found the factors 787,604,766 . The biggest common factor number is the GCF number.
So the greatest common factor 787,604,766 is 1.

Lets's calculate LCM of 72,25,39

3 72, 25, 39
24, 25, 13

∴ So the LCM of the given numbers is 3 x 24 x 25 x 13 = 23400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23400

Therefore, the GCF of Fractions 787/72,604/25,766/39 is 1/23400

Least Common Multiple of 72,25,39 with GCF Formula

Least Common Multiple of 72,25,39 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 72,25,39 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,25,39) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(72,25,39) x common factors =1 x 3 = 3

LCM(72,25,39) = ( 72 × 25 × 39 ) / 3

LCM(72,25,39) = 70200 / 3

LCM(72,25,39) = 23400


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 787/72, 604/25, 766/39

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 787/72, 604/25, 766/39?

Answer: GCF of Numerators as per given numbers 787/72, 604/25, 766/39 is

GCF of Numerators i.e. for 787,604,766 is 1

LCM of denominators i.e. for 72,25,39 is 23400.

Thus, GCF of Fractions is 1/23400.Finally, GCF of Fractions for 787/72, 604/25, 766/39 is 1/23400.