Greatest Common Factor of 2023/35, 9783/161

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2023/35, 9783/161

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 2023/35,9783/161

Given fractions are 2023/35,9783/161

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 2023,9783

Greatest Common Factor of Numerators i.e. GCF of 2023,9783 is 1 .

LCM of Denominators means LCM of 35,161 as per the given fractions.

LCM of 35,161 is 805 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2023,9783

GCF of Fractions 2023/35,9783/161 is 1/805

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

Greatest Common Factor of 2023,9783 By Matching Biggest Common Factor Method

Greatest Common Factor of 2023,9783 By Matching Biggest Common Factor Method

Factors of 2023

List of positive integer factors of 2023 that divides 2023 without a remainder.

1,7,17,119,289,2023

Factors of 9783

List of positive integer factors of 9783 that divides 9783 without a remainder.

1,3,9,1087,3261,9783

Greatest Common Factor

We found the factors 2023,9783 . The biggest common factor number is the GCF number.
So the greatest common factor 2023,9783 is 1.

Lets's calculate LCM of 35,161

7 35, 161
5, 23

∴ So the LCM of the given numbers is 7 x 5 x 23 = 805

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/805

Therefore, the GCF of Fractions 2023/35,9783/161 is 1/805

Least Common Multiple of 35,161 with GCF Formula

Least Common Multiple of 35,161 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 35,161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(35,161) = 7

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

GCF(35,161) x common factors =7 x 1 = 7

LCM(35,161) = ( 35 × 161 ) / 7

LCM(35,161) = 5635 / 7

LCM(35,161) = 805


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 2023/35, 9783/161

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 2023/35, 9783/161?

Answer: GCF of Numerators as per given numbers 2023/35, 9783/161 is

GCF of Numerators i.e. for 2023,9783 is 1

LCM of denominators i.e. for 35,161 is 805.

Thus, GCF of Fractions is 1/805.Finally, GCF of Fractions for 2023/35, 9783/161 is 1/805.