Greatest Common Factor of 7794/230, 7933/768

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7794/230, 7933/768

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 7794/230,7933/768

Given fractions are 7794/230,7933/768

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 7794,7933

Greatest Common Factor of Numerators i.e. GCF of 7794,7933 is 1 .

LCM of Denominators means LCM of 230,768 as per the given fractions.

LCM of 230,768 is 88320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7794,7933

GCF of Fractions 7794/230,7933/768 is 1/88320

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

Greatest Common Factor of 7794,7933 By Matching Biggest Common Factor Method

Greatest Common Factor of 7794,7933 By Matching Biggest Common Factor Method

Factors of 7794

List of positive integer factors of 7794 that divides 7794 without a remainder.

1,2,3,6,9,18,433,866,1299,2598,3897,7794

Factors of 7933

List of positive integer factors of 7933 that divides 7933 without a remainder.

1,7933

Greatest Common Factor

We found the factors 7794,7933 . The biggest common factor number is the GCF number.
So the greatest common factor 7794,7933 is 1.

Lets's calculate LCM of 230,768

2 230, 768
115, 384

∴ So the LCM of the given numbers is 2 x 115 x 384 = 88320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/88320

Therefore, the GCF of Fractions 7794/230,7933/768 is 1/88320

Least Common Multiple of 230,768 with GCF Formula

Least Common Multiple of 230,768 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 230,768 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,768) = 2

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

GCF(230,768) x common factors =2 x 1 = 2

LCM(230,768) = ( 230 × 768 ) / 2

LCM(230,768) = 176640 / 2

LCM(230,768) = 88320


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 7794/230, 7933/768

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 7794/230, 7933/768?

Answer: GCF of Numerators as per given numbers 7794/230, 7933/768 is

GCF of Numerators i.e. for 7794,7933 is 1

LCM of denominators i.e. for 230,768 is 88320.

Thus, GCF of Fractions is 1/88320.Finally, GCF of Fractions for 7794/230, 7933/768 is 1/88320.