Greatest Common Factor of 193/27, 814/200

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 193/27, 814/200

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 193/27,814/200

Given fractions are 193/27,814/200

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 193,814

Greatest Common Factor of Numerators i.e. GCF of 193,814 is 1 .

LCM of Denominators means LCM of 27,200 as per the given fractions.

LCM of 27,200 is 5400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 193,814

GCF of Fractions 193/27,814/200 is 1/5400

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

Greatest Common Factor of 193,814 By Matching Biggest Common Factor Method

Greatest Common Factor of 193,814 By Matching Biggest Common Factor Method

Factors of 193

List of positive integer factors of 193 that divides 193 without a remainder.

1,193

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Greatest Common Factor

We found the factors 193,814 . The biggest common factor number is the GCF number.
So the greatest common factor 193,814 is 1.

Lets's calculate LCM of 27,200

Given numbers has no common factors except 1. So, there LCM is their product i.e 5400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5400

Therefore, the GCF of Fractions 193/27,814/200 is 1/5400

Least Common Multiple of 27,200 with GCF Formula

Least Common Multiple of 27,200 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 27,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,200) = 1

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

GCF(27,200) x common factors =1 x 1 = 1

LCM(27,200) = ( 27 × 200 ) / 1

LCM(27,200) = 5400 / 1

LCM(27,200) = 5400


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 193/27, 814/200

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 193/27, 814/200?

Answer: GCF of Numerators as per given numbers 193/27, 814/200 is

GCF of Numerators i.e. for 193,814 is 1

LCM of denominators i.e. for 27,200 is 5400.

Thus, GCF of Fractions is 1/5400.Finally, GCF of Fractions for 193/27, 814/200 is 1/5400.