Greatest Common Factor of 4065/983, 4863/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4065/983, 4863/187

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 4065/983,4863/187

Given fractions are 4065/983,4863/187

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 4065,4863

Greatest Common Factor of Numerators i.e. GCF of 4065,4863 is 3 .

LCM of Denominators means LCM of 983,187 as per the given fractions.

LCM of 983,187 is 183821 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4065,4863

GCF of Fractions 4065/983,4863/187 is 3/183821

3 4065, 4863
1355, 1621

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 4065,4863 By Matching Biggest Common Factor Method

Greatest Common Factor of 4065,4863 By Matching Biggest Common Factor Method

Factors of 4065

List of positive integer factors of 4065 that divides 4065 without a remainder.

1,3,5,15,271,813,1355,4065

Factors of 4863

List of positive integer factors of 4863 that divides 4863 without a remainder.

1,3,1621,4863

Greatest Common Factor

We found the factors 4065,4863 . The biggest common factor number is the GCF number.
So the greatest common factor 4065,4863 is 3.

Lets's calculate LCM of 983,187

Given numbers has no common factors except 1. So, there LCM is their product i.e 183821

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/183821

Therefore, the GCF of Fractions 4065/983,4863/187 is 3/183821

Least Common Multiple of 983,187 with GCF Formula

Least Common Multiple of 983,187 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 983,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(983,187) = 1

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

GCF(983,187) x common factors =1 x 1 = 1

LCM(983,187) = ( 983 × 187 ) / 1

LCM(983,187) = 183821 / 1

LCM(983,187) = 183821


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 4065/983, 4863/187

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 4065/983, 4863/187?

Answer: GCF of Numerators as per given numbers 4065/983, 4863/187 is

GCF of Numerators i.e. for 4065,4863 is 3

LCM of denominators i.e. for 983,187 is 183821.

Thus, GCF of Fractions is 3/183821.Finally, GCF of Fractions for 4065/983, 4863/187 is 3/183821.