Greatest Common Factor of 9693/81, 9735/437

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9693/81, 9735/437

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 9693/81,9735/437

Given fractions are 9693/81,9735/437

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 9693,9735

Greatest Common Factor of Numerators i.e. GCF of 9693,9735 is 3 .

LCM of Denominators means LCM of 81,437 as per the given fractions.

LCM of 81,437 is 35397 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9693,9735

GCF of Fractions 9693/81,9735/437 is 3/35397

3 9693, 9735
3231, 3245

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 9693,9735 By Matching Biggest Common Factor Method

Greatest Common Factor of 9693,9735 By Matching Biggest Common Factor Method

Factors of 9693

List of positive integer factors of 9693 that divides 9693 without a remainder.

1,3,9,27,359,1077,3231,9693

Factors of 9735

List of positive integer factors of 9735 that divides 9735 without a remainder.

1,3,5,11,15,33,55,59,165,177,295,649,885,1947,3245,9735

Greatest Common Factor

We found the factors 9693,9735 . The biggest common factor number is the GCF number.
So the greatest common factor 9693,9735 is 3.

Lets's calculate LCM of 81,437

Given numbers has no common factors except 1. So, there LCM is their product i.e 35397

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/35397

Therefore, the GCF of Fractions 9693/81,9735/437 is 3/35397

Least Common Multiple of 81,437 with GCF Formula

Least Common Multiple of 81,437 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 81,437 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(81,437) = 1

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

GCF(81,437) x common factors =1 x 1 = 1

LCM(81,437) = ( 81 × 437 ) / 1

LCM(81,437) = 35397 / 1

LCM(81,437) = 35397


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 9693/81, 9735/437

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 9693/81, 9735/437?

Answer: GCF of Numerators as per given numbers 9693/81, 9735/437 is

GCF of Numerators i.e. for 9693,9735 is 3

LCM of denominators i.e. for 81,437 is 35397.

Thus, GCF of Fractions is 3/35397.Finally, GCF of Fractions for 9693/81, 9735/437 is 3/35397.