Greatest Common Factor of 9423/46, 2098/430

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9423/46, 2098/430

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 9423/46,2098/430

Given fractions are 9423/46,2098/430

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 9423,2098

Greatest Common Factor of Numerators i.e. GCF of 9423,2098 is 1 .

LCM of Denominators means LCM of 46,430 as per the given fractions.

LCM of 46,430 is 9890 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9423,2098

GCF of Fractions 9423/46,2098/430 is 1/9890

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

Greatest Common Factor of 9423,2098 By Matching Biggest Common Factor Method

Greatest Common Factor of 9423,2098 By Matching Biggest Common Factor Method

Factors of 9423

List of positive integer factors of 9423 that divides 9423 without a remainder.

1,3,9,27,349,1047,3141,9423

Factors of 2098

List of positive integer factors of 2098 that divides 2098 without a remainder.

1,2,1049,2098

Greatest Common Factor

We found the factors 9423,2098 . The biggest common factor number is the GCF number.
So the greatest common factor 9423,2098 is 1.

Lets's calculate LCM of 46,430

2 46, 430
23, 215

∴ So the LCM of the given numbers is 2 x 23 x 215 = 9890

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9890

Therefore, the GCF of Fractions 9423/46,2098/430 is 1/9890

Least Common Multiple of 46,430 with GCF Formula

Least Common Multiple of 46,430 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 46,430 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,430) = 2

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

GCF(46,430) x common factors =2 x 1 = 2

LCM(46,430) = ( 46 × 430 ) / 2

LCM(46,430) = 19780 / 2

LCM(46,430) = 9890


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 9423/46, 2098/430

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 9423/46, 2098/430?

Answer: GCF of Numerators as per given numbers 9423/46, 2098/430 is

GCF of Numerators i.e. for 9423,2098 is 1

LCM of denominators i.e. for 46,430 is 9890.

Thus, GCF of Fractions is 1/9890.Finally, GCF of Fractions for 9423/46, 2098/430 is 1/9890.