Greatest Common Factor of 5822/30, 8034/184

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5822/30, 8034/184

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 5822/30,8034/184

Given fractions are 5822/30,8034/184

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 5822,8034

Greatest Common Factor of Numerators i.e. GCF of 5822,8034 is 2 .

LCM of Denominators means LCM of 30,184 as per the given fractions.

LCM of 30,184 is 2760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5822,8034

GCF of Fractions 5822/30,8034/184 is 2/2760

2 5822, 8034
2911, 4017

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

Greatest Common Factor of 5822,8034 By Matching Biggest Common Factor Method

Greatest Common Factor of 5822,8034 By Matching Biggest Common Factor Method

Factors of 5822

List of positive integer factors of 5822 that divides 5822 without a remainder.

1,2,41,71,82,142,2911,5822

Factors of 8034

List of positive integer factors of 8034 that divides 8034 without a remainder.

1,2,3,6,13,26,39,78,103,206,309,618,1339,2678,4017,8034

Greatest Common Factor

We found the factors 5822,8034 . The biggest common factor number is the GCF number.
So the greatest common factor 5822,8034 is 2.

Lets's calculate LCM of 30,184

2 30, 184
15, 92

∴ So the LCM of the given numbers is 2 x 15 x 92 = 2760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/2760

Therefore, the GCF of Fractions 5822/30,8034/184 is 2/2760

Least Common Multiple of 30,184 with GCF Formula

Least Common Multiple of 30,184 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 30,184 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,184) = 2

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

GCF(30,184) x common factors =2 x 1 = 2

LCM(30,184) = ( 30 × 184 ) / 2

LCM(30,184) = 5520 / 2

LCM(30,184) = 2760


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 5822/30, 8034/184

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 5822/30, 8034/184?

Answer: GCF of Numerators as per given numbers 5822/30, 8034/184 is

GCF of Numerators i.e. for 5822,8034 is 2

LCM of denominators i.e. for 30,184 is 2760.

Thus, GCF of Fractions is 2/2760.Finally, GCF of Fractions for 5822/30, 8034/184 is 2/2760.