Greatest Common Factor of 828/723, 419/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 828/723, 419/768

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 828/723,419/768

Given fractions are 828/723,419/768

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 828,419

Greatest Common Factor of Numerators i.e. GCF of 828,419 is 1 .

LCM of Denominators means LCM of 723,768 as per the given fractions.

LCM of 723,768 is 185088 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 828,419

GCF of Fractions 828/723,419/768 is 1/185088

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

Greatest Common Factor of 828,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 828,419 By Matching Biggest Common Factor Method

Factors of 828

List of positive integer factors of 828 that divides 828 without a remainder.

1,2,3,4,6,9,12,18,23,36,46,69,92,138,207,276,414,828

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 828,419 . The biggest common factor number is the GCF number.
So the greatest common factor 828,419 is 1.

Lets's calculate LCM of 723,768

3 723, 768
241, 256

∴ So the LCM of the given numbers is 3 x 241 x 256 = 185088

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/185088

Therefore, the GCF of Fractions 828/723,419/768 is 1/185088

Least Common Multiple of 723,768 with GCF Formula

Least Common Multiple of 723,768 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 723,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(723,768) = 3

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

GCF(723,768) x common factors =3 x 1 = 3

LCM(723,768) = ( 723 × 768 ) / 3

LCM(723,768) = 555264 / 3

LCM(723,768) = 185088


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 828/723, 419/768

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 828/723, 419/768?

Answer: GCF of Numerators as per given numbers 828/723, 419/768 is

GCF of Numerators i.e. for 828,419 is 1

LCM of denominators i.e. for 723,768 is 185088.

Thus, GCF of Fractions is 1/185088.Finally, GCF of Fractions for 828/723, 419/768 is 1/185088.