Greatest Common Factor of 5634/27, 9788/368

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5634/27, 9788/368

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 5634/27,9788/368

Given fractions are 5634/27,9788/368

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 5634,9788

Greatest Common Factor of Numerators i.e. GCF of 5634,9788 is 2 .

LCM of Denominators means LCM of 27,368 as per the given fractions.

LCM of 27,368 is 9936 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5634,9788

GCF of Fractions 5634/27,9788/368 is 2/9936

2 5634, 9788
2817, 4894

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

Greatest Common Factor of 5634,9788 By Matching Biggest Common Factor Method

Greatest Common Factor of 5634,9788 By Matching Biggest Common Factor Method

Factors of 5634

List of positive integer factors of 5634 that divides 5634 without a remainder.

1,2,3,6,9,18,313,626,939,1878,2817,5634

Factors of 9788

List of positive integer factors of 9788 that divides 9788 without a remainder.

1,2,4,2447,4894,9788

Greatest Common Factor

We found the factors 5634,9788 . The biggest common factor number is the GCF number.
So the greatest common factor 5634,9788 is 2.

Lets's calculate LCM of 27,368

Given numbers has no common factors except 1. So, there LCM is their product i.e 9936

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9936

Therefore, the GCF of Fractions 5634/27,9788/368 is 2/9936

Least Common Multiple of 27,368 with GCF Formula

Least Common Multiple of 27,368 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 27,368 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,368) = 1

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

GCF(27,368) x common factors =1 x 1 = 1

LCM(27,368) = ( 27 × 368 ) / 1

LCM(27,368) = 9936 / 1

LCM(27,368) = 9936


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 5634/27, 9788/368

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 5634/27, 9788/368?

Answer: GCF of Numerators as per given numbers 5634/27, 9788/368 is

GCF of Numerators i.e. for 5634,9788 is 2

LCM of denominators i.e. for 27,368 is 9936.

Thus, GCF of Fractions is 2/9936.Finally, GCF of Fractions for 5634/27, 9788/368 is 2/9936.