Greatest Common Factor of 9366/38, 1814/739

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9366/38, 1814/739

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 9366/38,1814/739

Given fractions are 9366/38,1814/739

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 9366,1814

Greatest Common Factor of Numerators i.e. GCF of 9366,1814 is 2 .

LCM of Denominators means LCM of 38,739 as per the given fractions.

LCM of 38,739 is 28082 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9366,1814

GCF of Fractions 9366/38,1814/739 is 2/28082

2 9366, 1814
4683, 907

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

Greatest Common Factor of 9366,1814 By Matching Biggest Common Factor Method

Greatest Common Factor of 9366,1814 By Matching Biggest Common Factor Method

Factors of 9366

List of positive integer factors of 9366 that divides 9366 without a remainder.

1,2,3,6,7,14,21,42,223,446,669,1338,1561,3122,4683,9366

Factors of 1814

List of positive integer factors of 1814 that divides 1814 without a remainder.

1,2,907,1814

Greatest Common Factor

We found the factors 9366,1814 . The biggest common factor number is the GCF number.
So the greatest common factor 9366,1814 is 2.

Lets's calculate LCM of 38,739

Given numbers has no common factors except 1. So, there LCM is their product i.e 28082

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28082

Therefore, the GCF of Fractions 9366/38,1814/739 is 2/28082

Least Common Multiple of 38,739 with GCF Formula

Least Common Multiple of 38,739 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 38,739 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,739) = 1

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

GCF(38,739) x common factors =1 x 1 = 1

LCM(38,739) = ( 38 × 739 ) / 1

LCM(38,739) = 28082 / 1

LCM(38,739) = 28082


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 9366/38, 1814/739

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 9366/38, 1814/739?

Answer: GCF of Numerators as per given numbers 9366/38, 1814/739 is

GCF of Numerators i.e. for 9366,1814 is 2

LCM of denominators i.e. for 38,739 is 28082.

Thus, GCF of Fractions is 2/28082.Finally, GCF of Fractions for 9366/38, 1814/739 is 2/28082.