Greatest Common Factor of 4728/987, 5879/2407

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4728/987, 5879/2407

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 4728/987,5879/2407

Given fractions are 4728/987,5879/2407

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 4728,5879

Greatest Common Factor of Numerators i.e. GCF of 4728,5879 is 1 .

LCM of Denominators means LCM of 987,2407 as per the given fractions.

LCM of 987,2407 is 2375709 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4728,5879

GCF of Fractions 4728/987,5879/2407 is 1/2375709

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

Greatest Common Factor of 4728,5879 By Matching Biggest Common Factor Method

Greatest Common Factor of 4728,5879 By Matching Biggest Common Factor Method

Factors of 4728

List of positive integer factors of 4728 that divides 4728 without a remainder.

1,2,3,4,6,8,12,24,197,394,591,788,1182,1576,2364,4728

Factors of 5879

List of positive integer factors of 5879 that divides 5879 without a remainder.

1,5879

Greatest Common Factor

We found the factors 4728,5879 . The biggest common factor number is the GCF number.
So the greatest common factor 4728,5879 is 1.

Lets's calculate LCM of 987,2407

Given numbers has no common factors except 1. So, there LCM is their product i.e 2375709

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2375709

Therefore, the GCF of Fractions 4728/987,5879/2407 is 1/2375709

Least Common Multiple of 987,2407 with GCF Formula

Least Common Multiple of 987,2407 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 987,2407 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(987,2407) = 1

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

GCF(987,2407) x common factors =1 x 1 = 1

LCM(987,2407) = ( 987 × 2407 ) / 1

LCM(987,2407) = 2375709 / 1

LCM(987,2407) = 2375709


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 4728/987, 5879/2407

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 4728/987, 5879/2407?

Answer: GCF of Numerators as per given numbers 4728/987, 5879/2407 is

GCF of Numerators i.e. for 4728,5879 is 1

LCM of denominators i.e. for 987,2407 is 2375709.

Thus, GCF of Fractions is 1/2375709.Finally, GCF of Fractions for 4728/987, 5879/2407 is 1/2375709.