Greatest Common Factor of 9188/243, 4996/4463

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9188/243, 4996/4463

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 9188/243,4996/4463

Given fractions are 9188/243,4996/4463

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 9188,4996

Greatest Common Factor of Numerators i.e. GCF of 9188,4996 is 4 .

LCM of Denominators means LCM of 243,4463 as per the given fractions.

LCM of 243,4463 is 1084509 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9188,4996

GCF of Fractions 9188/243,4996/4463 is 4/1084509

2 9188, 4996
2 4594, 2498
2297, 1249

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 9188,4996 By Matching Biggest Common Factor Method

Greatest Common Factor of 9188,4996 By Matching Biggest Common Factor Method

Factors of 9188

List of positive integer factors of 9188 that divides 9188 without a remainder.

1,2,4,2297,4594,9188

Factors of 4996

List of positive integer factors of 4996 that divides 4996 without a remainder.

1,2,4,1249,2498,4996

Greatest Common Factor

We found the factors 9188,4996 . The biggest common factor number is the GCF number.
So the greatest common factor 9188,4996 is 4.

Lets's calculate LCM of 243,4463

Given numbers has no common factors except 1. So, there LCM is their product i.e 1084509

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1084509

Therefore, the GCF of Fractions 9188/243,4996/4463 is 4/1084509

Least Common Multiple of 243,4463 with GCF Formula

Least Common Multiple of 243,4463 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 243,4463 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(243,4463) = 1

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

GCF(243,4463) x common factors =1 x 1 = 1

LCM(243,4463) = ( 243 × 4463 ) / 1

LCM(243,4463) = 1084509 / 1

LCM(243,4463) = 1084509


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 9188/243, 4996/4463

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 9188/243, 4996/4463?

Answer: GCF of Numerators as per given numbers 9188/243, 4996/4463 is

GCF of Numerators i.e. for 9188,4996 is 4

LCM of denominators i.e. for 243,4463 is 1084509.

Thus, GCF of Fractions is 4/1084509.Finally, GCF of Fractions for 9188/243, 4996/4463 is 4/1084509.