Greatest Common Factor of 5693/362, 9981/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5693/362, 9981/588

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 5693/362,9981/588

Given fractions are 5693/362,9981/588

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 5693,9981

Greatest Common Factor of Numerators i.e. GCF of 5693,9981 is 1 .

LCM of Denominators means LCM of 362,588 as per the given fractions.

LCM of 362,588 is 106428 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5693,9981

GCF of Fractions 5693/362,9981/588 is 1/106428

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

Greatest Common Factor of 5693,9981 By Matching Biggest Common Factor Method

Greatest Common Factor of 5693,9981 By Matching Biggest Common Factor Method

Factors of 5693

List of positive integer factors of 5693 that divides 5693 without a remainder.

1,5693

Factors of 9981

List of positive integer factors of 9981 that divides 9981 without a remainder.

1,3,9,1109,3327,9981

Greatest Common Factor

We found the factors 5693,9981 . The biggest common factor number is the GCF number.
So the greatest common factor 5693,9981 is 1.

Lets's calculate LCM of 362,588

2 362, 588
181, 294

∴ So the LCM of the given numbers is 2 x 181 x 294 = 106428

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/106428

Therefore, the GCF of Fractions 5693/362,9981/588 is 1/106428

Least Common Multiple of 362,588 with GCF Formula

Least Common Multiple of 362,588 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 362,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(362,588) = 2

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

GCF(362,588) x common factors =2 x 1 = 2

LCM(362,588) = ( 362 × 588 ) / 2

LCM(362,588) = 212856 / 2

LCM(362,588) = 106428


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 5693/362, 9981/588

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 5693/362, 9981/588?

Answer: GCF of Numerators as per given numbers 5693/362, 9981/588 is

GCF of Numerators i.e. for 5693,9981 is 1

LCM of denominators i.e. for 362,588 is 106428.

Thus, GCF of Fractions is 1/106428.Finally, GCF of Fractions for 5693/362, 9981/588 is 1/106428.