Greatest Common Factor of 9706/192, 2707/453

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9706/192, 2707/453

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 9706/192,2707/453

Given fractions are 9706/192,2707/453

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 9706,2707

Greatest Common Factor of Numerators i.e. GCF of 9706,2707 is 1 .

LCM of Denominators means LCM of 192,453 as per the given fractions.

LCM of 192,453 is 28992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9706,2707

GCF of Fractions 9706/192,2707/453 is 1/28992

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

Greatest Common Factor of 9706,2707 By Matching Biggest Common Factor Method

Greatest Common Factor of 9706,2707 By Matching Biggest Common Factor Method

Factors of 9706

List of positive integer factors of 9706 that divides 9706 without a remainder.

1,2,23,46,211,422,4853,9706

Factors of 2707

List of positive integer factors of 2707 that divides 2707 without a remainder.

1,2707

Greatest Common Factor

We found the factors 9706,2707 . The biggest common factor number is the GCF number.
So the greatest common factor 9706,2707 is 1.

Lets's calculate LCM of 192,453

3 192, 453
64, 151

∴ So the LCM of the given numbers is 3 x 64 x 151 = 28992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28992

Therefore, the GCF of Fractions 9706/192,2707/453 is 1/28992

Least Common Multiple of 192,453 with GCF Formula

Least Common Multiple of 192,453 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 192,453 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(192,453) = 3

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

GCF(192,453) x common factors =3 x 1 = 3

LCM(192,453) = ( 192 × 453 ) / 3

LCM(192,453) = 86976 / 3

LCM(192,453) = 28992


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 9706/192, 2707/453

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 9706/192, 2707/453?

Answer: GCF of Numerators as per given numbers 9706/192, 2707/453 is

GCF of Numerators i.e. for 9706,2707 is 1

LCM of denominators i.e. for 192,453 is 28992.

Thus, GCF of Fractions is 1/28992.Finally, GCF of Fractions for 9706/192, 2707/453 is 1/28992.