Greatest Common Factor of 384/587, 878/892

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 384/587, 878/892

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 384/587,878/892

Given fractions are 384/587,878/892

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 384,878

Greatest Common Factor of Numerators i.e. GCF of 384,878 is 2 .

LCM of Denominators means LCM of 587,892 as per the given fractions.

LCM of 587,892 is 523604 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 384,878

GCF of Fractions 384/587,878/892 is 2/523604

2 384, 878
192, 439

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 384,878 By Matching Biggest Common Factor Method

Greatest Common Factor of 384,878 By Matching Biggest Common Factor Method

Factors of 384

List of positive integer factors of 384 that divides 384 without a remainder.

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

Factors of 878

List of positive integer factors of 878 that divides 878 without a remainder.

1,2,439,878

Greatest Common Factor

We found the factors 384,878 . The biggest common factor number is the GCF number.
So the greatest common factor 384,878 is 2.

Lets's calculate LCM of 587,892

Given numbers has no common factors except 1. So, there LCM is their product i.e 523604

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/523604

Therefore, the GCF of Fractions 384/587,878/892 is 2/523604

Least Common Multiple of 587,892 with GCF Formula

Least Common Multiple of 587,892 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 587,892 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(587,892) = 1

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

GCF(587,892) x common factors =1 x 1 = 1

LCM(587,892) = ( 587 × 892 ) / 1

LCM(587,892) = 523604 / 1

LCM(587,892) = 523604


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 384/587, 878/892

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 384/587, 878/892?

Answer: GCF of Numerators as per given numbers 384/587, 878/892 is

GCF of Numerators i.e. for 384,878 is 2

LCM of denominators i.e. for 587,892 is 523604.

Thus, GCF of Fractions is 2/523604.Finally, GCF of Fractions for 384/587, 878/892 is 2/523604.