Greatest Common Factor of 55/589, 8284/5662

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/589, 8284/5662

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 55/589,8284/5662

Given fractions are 55/589,8284/5662

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 55,8284

Greatest Common Factor of Numerators i.e. GCF of 55,8284 is 1 .

LCM of Denominators means LCM of 589,5662 as per the given fractions.

LCM of 589,5662 is 175522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,8284

GCF of Fractions 55/589,8284/5662 is 1/175522

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

Greatest Common Factor of 55,8284 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,8284 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 8284

List of positive integer factors of 8284 that divides 8284 without a remainder.

1,2,4,19,38,76,109,218,436,2071,4142,8284

Greatest Common Factor

We found the factors 55,8284 . The biggest common factor number is the GCF number.
So the greatest common factor 55,8284 is 1.

Lets's calculate LCM of 589,5662

19 589, 5662
31, 298

∴ So the LCM of the given numbers is 19 x 31 x 298 = 175522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/175522

Therefore, the GCF of Fractions 55/589,8284/5662 is 1/175522

Least Common Multiple of 589,5662 with GCF Formula

Least Common Multiple of 589,5662 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 589,5662 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(589,5662) = 19

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

GCF(589,5662) x common factors =19 x 1 = 19

LCM(589,5662) = ( 589 × 5662 ) / 19

LCM(589,5662) = 3334918 / 19

LCM(589,5662) = 175522


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 55/589, 8284/5662

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 55/589, 8284/5662?

Answer: GCF of Numerators as per given numbers 55/589, 8284/5662 is

GCF of Numerators i.e. for 55,8284 is 1

LCM of denominators i.e. for 589,5662 is 175522.

Thus, GCF of Fractions is 1/175522.Finally, GCF of Fractions for 55/589, 8284/5662 is 1/175522.