Greatest Common Factor of 3834/990, 5983/8130

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3834/990, 5983/8130

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 3834/990,5983/8130

Given fractions are 3834/990,5983/8130

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 3834,5983

Greatest Common Factor of Numerators i.e. GCF of 3834,5983 is 1 .

LCM of Denominators means LCM of 990,8130 as per the given fractions.

LCM of 990,8130 is 268290 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3834,5983

GCF of Fractions 3834/990,5983/8130 is 1/268290

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

Greatest Common Factor of 3834,5983 By Matching Biggest Common Factor Method

Greatest Common Factor of 3834,5983 By Matching Biggest Common Factor Method

Factors of 3834

List of positive integer factors of 3834 that divides 3834 without a remainder.

1,2,3,6,9,18,27,54,71,142,213,426,639,1278,1917,3834

Factors of 5983

List of positive integer factors of 5983 that divides 5983 without a remainder.

1,31,193,5983

Greatest Common Factor

We found the factors 3834,5983 . The biggest common factor number is the GCF number.
So the greatest common factor 3834,5983 is 1.

Lets's calculate LCM of 990,8130

2 990, 8130
3 495, 4065
5 165, 1355
33, 271

∴ So the LCM of the given numbers is 2 x 3 x 5 x 33 x 271 = 268290

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/268290

Therefore, the GCF of Fractions 3834/990,5983/8130 is 1/268290

Least Common Multiple of 990,8130 with GCF Formula

Least Common Multiple of 990,8130 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 990,8130 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(990,8130) = 30

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

GCF(990,8130) x common factors =30 x 1 = 30

LCM(990,8130) = ( 990 × 8130 ) / 30

LCM(990,8130) = 8048700 / 30

LCM(990,8130) = 268290


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 3834/990, 5983/8130

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 3834/990, 5983/8130?

Answer: GCF of Numerators as per given numbers 3834/990, 5983/8130 is

GCF of Numerators i.e. for 3834,5983 is 1

LCM of denominators i.e. for 990,8130 is 268290.

Thus, GCF of Fractions is 1/268290.Finally, GCF of Fractions for 3834/990, 5983/8130 is 1/268290.