Greatest Common Factor of 23/22, 83/37, 163/613

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 23/22, 83/37, 163/613

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 23/22,83/37,163/613

Given fractions are 23/22,83/37,163/613

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 23,83,163

Greatest Common Factor of Numerators i.e. GCF of 23,83,163 is 1 .

LCM of Denominators means LCM of 22,37,613 as per the given fractions.

LCM of 22,37,613 is 498982 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 23,83,163

GCF of Fractions 23/22,83/37,163/613 is 1/498982

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

Greatest Common Factor of 23,83,163 By Matching Biggest Common Factor Method

Greatest Common Factor of 23,83,163 By Matching Biggest Common Factor Method

Factors of 23

List of positive integer factors of 23 that divides 23 without a remainder.

1,23

Factors of 83

List of positive integer factors of 83 that divides 83 without a remainder.

1,83

Factors of 163

List of positive integer factors of 163 that divides 163 without a remainder.

1,163

Greatest Common Factor

We found the factors 23,83,163 . The biggest common factor number is the GCF number.
So the greatest common factor 23,83,163 is 1.

Lets's calculate LCM of 22,37,613

Given numbers has no common factors except 1. So, there LCM is their product i.e 498982

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/498982

Therefore, the GCF of Fractions 23/22,83/37,163/613 is 1/498982

Least Common Multiple of 22,37,613 with GCF Formula

Least Common Multiple of 22,37,613 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 22,37,613 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,37,613) = 1

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

GCF(22,37,613) x common factors =1 x 1 = 1

LCM(22,37,613) = ( 22 × 37 × 613 ) / 1

LCM(22,37,613) = 498982 / 1

LCM(22,37,613) = 498982


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 23/22, 83/37, 163/613

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 23/22, 83/37, 163/613?

Answer: GCF of Numerators as per given numbers 23/22, 83/37, 163/613 is

GCF of Numerators i.e. for 23,83,163 is 1

LCM of denominators i.e. for 22,37,613 is 498982.

Thus, GCF of Fractions is 1/498982.Finally, GCF of Fractions for 23/22, 83/37, 163/613 is 1/498982.