Greatest Common Factor of 1466/230, 9942/9306

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1466/230, 9942/9306

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 1466/230,9942/9306

Given fractions are 1466/230,9942/9306

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 1466,9942

Greatest Common Factor of Numerators i.e. GCF of 1466,9942 is 2 .

LCM of Denominators means LCM of 230,9306 as per the given fractions.

LCM of 230,9306 is 1070190 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1466,9942

GCF of Fractions 1466/230,9942/9306 is 2/1070190

2 1466, 9942
733, 4971

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

Greatest Common Factor of 1466,9942 By Matching Biggest Common Factor Method

Greatest Common Factor of 1466,9942 By Matching Biggest Common Factor Method

Factors of 1466

List of positive integer factors of 1466 that divides 1466 without a remainder.

1,2,733,1466

Factors of 9942

List of positive integer factors of 9942 that divides 9942 without a remainder.

1,2,3,6,1657,3314,4971,9942

Greatest Common Factor

We found the factors 1466,9942 . The biggest common factor number is the GCF number.
So the greatest common factor 1466,9942 is 2.

Lets's calculate LCM of 230,9306

2 230, 9306
115, 4653

∴ So the LCM of the given numbers is 2 x 115 x 4653 = 1070190

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1070190

Therefore, the GCF of Fractions 1466/230,9942/9306 is 2/1070190

Least Common Multiple of 230,9306 with GCF Formula

Least Common Multiple of 230,9306 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 230,9306 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(230,9306) = 2

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

GCF(230,9306) x common factors =2 x 1 = 2

LCM(230,9306) = ( 230 × 9306 ) / 2

LCM(230,9306) = 2140380 / 2

LCM(230,9306) = 1070190


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 1466/230, 9942/9306

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 1466/230, 9942/9306?

Answer: GCF of Numerators as per given numbers 1466/230, 9942/9306 is

GCF of Numerators i.e. for 1466,9942 is 2

LCM of denominators i.e. for 230,9306 is 1070190.

Thus, GCF of Fractions is 2/1070190.Finally, GCF of Fractions for 1466/230, 9942/9306 is 2/1070190.