Greatest Common Factor of 538/17, 8888/588

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 538/17, 8888/588

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 538/17,8888/588

Given fractions are 538/17,8888/588

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 538,8888

Greatest Common Factor of Numerators i.e. GCF of 538,8888 is 2 .

LCM of Denominators means LCM of 17,588 as per the given fractions.

LCM of 17,588 is 9996 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 538,8888

GCF of Fractions 538/17,8888/588 is 2/9996

2 538, 8888
269, 4444

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

Greatest Common Factor of 538,8888 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,8888 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 8888

List of positive integer factors of 8888 that divides 8888 without a remainder.

1,2,4,8,11,22,44,88,101,202,404,808,1111,2222,4444,8888

Greatest Common Factor

We found the factors 538,8888 . The biggest common factor number is the GCF number.
So the greatest common factor 538,8888 is 2.

Lets's calculate LCM of 17,588

Given numbers has no common factors except 1. So, there LCM is their product i.e 9996

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/9996

Therefore, the GCF of Fractions 538/17,8888/588 is 2/9996

Least Common Multiple of 17,588 with GCF Formula

Least Common Multiple of 17,588 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 17,588 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(17,588) = 1

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

GCF(17,588) x common factors =1 x 1 = 1

LCM(17,588) = ( 17 × 588 ) / 1

LCM(17,588) = 9996 / 1

LCM(17,588) = 9996


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 538/17, 8888/588

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 538/17, 8888/588?

Answer: GCF of Numerators as per given numbers 538/17, 8888/588 is

GCF of Numerators i.e. for 538,8888 is 2

LCM of denominators i.e. for 17,588 is 9996.

Thus, GCF of Fractions is 2/9996.Finally, GCF of Fractions for 538/17, 8888/588 is 2/9996.