Greatest Common Factor of 768/600, 4379/885

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 768/600, 4379/885

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 768/600,4379/885

Given fractions are 768/600,4379/885

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 768,4379

Greatest Common Factor of Numerators i.e. GCF of 768,4379 is 1 .

LCM of Denominators means LCM of 600,885 as per the given fractions.

LCM of 600,885 is 35400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 768,4379

GCF of Fractions 768/600,4379/885 is 1/35400

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

Greatest Common Factor of 768,4379 By Matching Biggest Common Factor Method

Greatest Common Factor of 768,4379 By Matching Biggest Common Factor Method

Factors of 768

List of positive integer factors of 768 that divides 768 without a remainder.

1,2,3,4,6,8,12,16,24,32,48,64,96,128,192,256,384,768

Factors of 4379

List of positive integer factors of 4379 that divides 4379 without a remainder.

1,29,151,4379

Greatest Common Factor

We found the factors 768,4379 . The biggest common factor number is the GCF number.
So the greatest common factor 768,4379 is 1.

Lets's calculate LCM of 600,885

3 600, 885
5 200, 295
40, 59

∴ So the LCM of the given numbers is 3 x 5 x 40 x 59 = 35400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35400

Therefore, the GCF of Fractions 768/600,4379/885 is 1/35400

Least Common Multiple of 600,885 with GCF Formula

Least Common Multiple of 600,885 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 600,885 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(600,885) = 15

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

GCF(600,885) x common factors =15 x 1 = 15

LCM(600,885) = ( 600 × 885 ) / 15

LCM(600,885) = 531000 / 15

LCM(600,885) = 35400


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 768/600, 4379/885

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 768/600, 4379/885?

Answer: GCF of Numerators as per given numbers 768/600, 4379/885 is

GCF of Numerators i.e. for 768,4379 is 1

LCM of denominators i.e. for 600,885 is 35400.

Thus, GCF of Fractions is 1/35400.Finally, GCF of Fractions for 768/600, 4379/885 is 1/35400.