Greatest Common Factor of 9718/133, 2266/5566

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9718/133, 2266/5566

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 9718/133,2266/5566

Given fractions are 9718/133,2266/5566

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 9718,2266

Greatest Common Factor of Numerators i.e. GCF of 9718,2266 is 2 .

LCM of Denominators means LCM of 133,5566 as per the given fractions.

LCM of 133,5566 is 740278 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9718,2266

GCF of Fractions 9718/133,2266/5566 is 2/740278

2 9718, 2266
4859, 1133

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

Greatest Common Factor of 9718,2266 By Matching Biggest Common Factor Method

Greatest Common Factor of 9718,2266 By Matching Biggest Common Factor Method

Factors of 9718

List of positive integer factors of 9718 that divides 9718 without a remainder.

1,2,43,86,113,226,4859,9718

Factors of 2266

List of positive integer factors of 2266 that divides 2266 without a remainder.

1,2,11,22,103,206,1133,2266

Greatest Common Factor

We found the factors 9718,2266 . The biggest common factor number is the GCF number.
So the greatest common factor 9718,2266 is 2.

Lets's calculate LCM of 133,5566

Given numbers has no common factors except 1. So, there LCM is their product i.e 740278

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/740278

Therefore, the GCF of Fractions 9718/133,2266/5566 is 2/740278

Least Common Multiple of 133,5566 with GCF Formula

Least Common Multiple of 133,5566 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 133,5566 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(133,5566) = 1

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

GCF(133,5566) x common factors =1 x 1 = 1

LCM(133,5566) = ( 133 × 5566 ) / 1

LCM(133,5566) = 740278 / 1

LCM(133,5566) = 740278


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 9718/133, 2266/5566

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 9718/133, 2266/5566?

Answer: GCF of Numerators as per given numbers 9718/133, 2266/5566 is

GCF of Numerators i.e. for 9718,2266 is 2

LCM of denominators i.e. for 133,5566 is 740278.

Thus, GCF of Fractions is 2/740278.Finally, GCF of Fractions for 9718/133, 2266/5566 is 2/740278.