Greatest Common Factor of 6083/466, 8993/3764

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6083/466, 8993/3764

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 6083/466,8993/3764

Given fractions are 6083/466,8993/3764

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 6083,8993

Greatest Common Factor of Numerators i.e. GCF of 6083,8993 is 1 .

LCM of Denominators means LCM of 466,3764 as per the given fractions.

LCM of 466,3764 is 877012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6083,8993

GCF of Fractions 6083/466,8993/3764 is 1/877012

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

Greatest Common Factor of 6083,8993 By Matching Biggest Common Factor Method

Greatest Common Factor of 6083,8993 By Matching Biggest Common Factor Method

Factors of 6083

List of positive integer factors of 6083 that divides 6083 without a remainder.

1,7,11,77,79,553,869,6083

Factors of 8993

List of positive integer factors of 8993 that divides 8993 without a remainder.

1,17,23,391,529,8993

Greatest Common Factor

We found the factors 6083,8993 . The biggest common factor number is the GCF number.
So the greatest common factor 6083,8993 is 1.

Lets's calculate LCM of 466,3764

2 466, 3764
233, 1882

∴ So the LCM of the given numbers is 2 x 233 x 1882 = 877012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/877012

Therefore, the GCF of Fractions 6083/466,8993/3764 is 1/877012

Least Common Multiple of 466,3764 with GCF Formula

Least Common Multiple of 466,3764 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 466,3764 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,3764) = 2

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

GCF(466,3764) x common factors =2 x 1 = 2

LCM(466,3764) = ( 466 × 3764 ) / 2

LCM(466,3764) = 1754024 / 2

LCM(466,3764) = 877012


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 6083/466, 8993/3764

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 6083/466, 8993/3764?

Answer: GCF of Numerators as per given numbers 6083/466, 8993/3764 is

GCF of Numerators i.e. for 6083,8993 is 1

LCM of denominators i.e. for 466,3764 is 877012.

Thus, GCF of Fractions is 1/877012.Finally, GCF of Fractions for 6083/466, 8993/3764 is 1/877012.