Greatest Common Factor of 9930/223, 7487/226

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9930/223, 7487/226

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 9930/223,7487/226

Given fractions are 9930/223,7487/226

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 9930,7487

Greatest Common Factor of Numerators i.e. GCF of 9930,7487 is 1 .

LCM of Denominators means LCM of 223,226 as per the given fractions.

LCM of 223,226 is 50398 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9930,7487

GCF of Fractions 9930/223,7487/226 is 1/50398

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

Greatest Common Factor of 9930,7487 By Matching Biggest Common Factor Method

Greatest Common Factor of 9930,7487 By Matching Biggest Common Factor Method

Factors of 9930

List of positive integer factors of 9930 that divides 9930 without a remainder.

1,2,3,5,6,10,15,30,331,662,993,1655,1986,3310,4965,9930

Factors of 7487

List of positive integer factors of 7487 that divides 7487 without a remainder.

1,7487

Greatest Common Factor

We found the factors 9930,7487 . The biggest common factor number is the GCF number.
So the greatest common factor 9930,7487 is 1.

Lets's calculate LCM of 223,226

Given numbers has no common factors except 1. So, there LCM is their product i.e 50398

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50398

Therefore, the GCF of Fractions 9930/223,7487/226 is 1/50398

Least Common Multiple of 223,226 with GCF Formula

Least Common Multiple of 223,226 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 223,226 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(223,226) = 1

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

GCF(223,226) x common factors =1 x 1 = 1

LCM(223,226) = ( 223 × 226 ) / 1

LCM(223,226) = 50398 / 1

LCM(223,226) = 50398


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 9930/223, 7487/226

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 9930/223, 7487/226?

Answer: GCF of Numerators as per given numbers 9930/223, 7487/226 is

GCF of Numerators i.e. for 9930,7487 is 1

LCM of denominators i.e. for 223,226 is 50398.

Thus, GCF of Fractions is 1/50398.Finally, GCF of Fractions for 9930/223, 7487/226 is 1/50398.