Greatest Common Factor of 300/19, 787/96, 723/83

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 300/19, 787/96, 723/83

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 300/19,787/96,723/83

Given fractions are 300/19,787/96,723/83

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 300,787,723

Greatest Common Factor of Numerators i.e. GCF of 300,787,723 is 1 .

LCM of Denominators means LCM of 19,96,83 as per the given fractions.

LCM of 19,96,83 is 151392 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 300,787,723

GCF of Fractions 300/19,787/96,723/83 is 1/151392

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

Greatest Common Factor of 300,787,723 By Matching Biggest Common Factor Method

Greatest Common Factor of 300,787,723 By Matching Biggest Common Factor Method

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Factors of 787

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

1,787

Factors of 723

List of positive integer factors of 723 that divides 723 without a remainder.

1,3,241,723

Greatest Common Factor

We found the factors 300,787,723 . The biggest common factor number is the GCF number.
So the greatest common factor 300,787,723 is 1.

Lets's calculate LCM of 19,96,83

Given numbers has no common factors except 1. So, there LCM is their product i.e 151392

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/151392

Therefore, the GCF of Fractions 300/19,787/96,723/83 is 1/151392

Least Common Multiple of 19,96,83 with GCF Formula

Least Common Multiple of 19,96,83 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 19,96,83 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(19,96,83) = 1

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

GCF(19,96,83) x common factors =1 x 1 = 1

LCM(19,96,83) = ( 19 × 96 × 83 ) / 1

LCM(19,96,83) = 151392 / 1

LCM(19,96,83) = 151392


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 300/19, 787/96, 723/83

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 300/19, 787/96, 723/83?

Answer: GCF of Numerators as per given numbers 300/19, 787/96, 723/83 is

GCF of Numerators i.e. for 300,787,723 is 1

LCM of denominators i.e. for 19,96,83 is 151392.

Thus, GCF of Fractions is 1/151392.Finally, GCF of Fractions for 300/19, 787/96, 723/83 is 1/151392.