Greatest Common Factor of 935/320, 8993/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 935/320, 8993/717

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 935/320,8993/717

Given fractions are 935/320,8993/717

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 935,8993

Greatest Common Factor of Numerators i.e. GCF of 935,8993 is 17 .

LCM of Denominators means LCM of 320,717 as per the given fractions.

LCM of 320,717 is 229440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 935,8993

GCF of Fractions 935/320,8993/717 is 17/229440

17 935, 8993
55, 529

∴ So the GCF of the given numbers is 17 = 17

Greatest Common Factor of 935,8993 By Matching Biggest Common Factor Method

Greatest Common Factor of 935,8993 By Matching Biggest Common Factor Method

Factors of 935

List of positive integer factors of 935 that divides 935 without a remainder.

1,5,11,17,55,85,187,935

Factors of 8993

List of positive integer factors of 8993 that divides 8993 without a remainder.

1,17,23,391,529,8993

Greatest Common Factor

We found the factors 935,8993 . The biggest common factor number is the GCF number.
So the greatest common factor 935,8993 is 17.

Lets's calculate LCM of 320,717

Given numbers has no common factors except 1. So, there LCM is their product i.e 229440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/229440

Therefore, the GCF of Fractions 935/320,8993/717 is 17/229440

Least Common Multiple of 320,717 with GCF Formula

Least Common Multiple of 320,717 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 320,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,717) = 1

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

GCF(320,717) x common factors =1 x 1 = 1

LCM(320,717) = ( 320 × 717 ) / 1

LCM(320,717) = 229440 / 1

LCM(320,717) = 229440


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 935/320, 8993/717

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 935/320, 8993/717?

Answer: GCF of Numerators as per given numbers 935/320, 8993/717 is

GCF of Numerators i.e. for 935,8993 is 17

LCM of denominators i.e. for 320,717 is 229440.

Thus, GCF of Fractions is 17/229440.Finally, GCF of Fractions for 935/320, 8993/717 is 17/229440.