Greatest Common Factor of 2342/30, 9766/230

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2342/30, 9766/230

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 2342/30,9766/230

Given fractions are 2342/30,9766/230

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 2342,9766

Greatest Common Factor of Numerators i.e. GCF of 2342,9766 is 2 .

LCM of Denominators means LCM of 30,230 as per the given fractions.

LCM of 30,230 is 690 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2342,9766

GCF of Fractions 2342/30,9766/230 is 2/690

2 2342, 9766
1171, 4883

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

Greatest Common Factor of 2342,9766 By Matching Biggest Common Factor Method

Greatest Common Factor of 2342,9766 By Matching Biggest Common Factor Method

Factors of 2342

List of positive integer factors of 2342 that divides 2342 without a remainder.

1,2,1171,2342

Factors of 9766

List of positive integer factors of 9766 that divides 9766 without a remainder.

1,2,19,38,257,514,4883,9766

Greatest Common Factor

We found the factors 2342,9766 . The biggest common factor number is the GCF number.
So the greatest common factor 2342,9766 is 2.

Lets's calculate LCM of 30,230

2 30, 230
5 15, 115
3, 23

∴ So the LCM of the given numbers is 2 x 5 x 3 x 23 = 690

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/690

Therefore, the GCF of Fractions 2342/30,9766/230 is 2/690

Least Common Multiple of 30,230 with GCF Formula

Least Common Multiple of 30,230 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 30,230 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,230) = 10

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

GCF(30,230) x common factors =10 x 1 = 10

LCM(30,230) = ( 30 × 230 ) / 10

LCM(30,230) = 6900 / 10

LCM(30,230) = 690


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 2342/30, 9766/230

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 2342/30, 9766/230?

Answer: GCF of Numerators as per given numbers 2342/30, 9766/230 is

GCF of Numerators i.e. for 2342,9766 is 2

LCM of denominators i.e. for 30,230 is 690.

Thus, GCF of Fractions is 2/690.Finally, GCF of Fractions for 2342/30, 9766/230 is 2/690.