Greatest Common Factor of 7315/927, 9617/6938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7315/927, 9617/6938

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 7315/927,9617/6938

Given fractions are 7315/927,9617/6938

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 7315,9617

Greatest Common Factor of Numerators i.e. GCF of 7315,9617 is 1 .

LCM of Denominators means LCM of 927,6938 as per the given fractions.

LCM of 927,6938 is 6431526 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7315,9617

GCF of Fractions 7315/927,9617/6938 is 1/6431526

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

Greatest Common Factor of 7315,9617 By Matching Biggest Common Factor Method

Greatest Common Factor of 7315,9617 By Matching Biggest Common Factor Method

Factors of 7315

List of positive integer factors of 7315 that divides 7315 without a remainder.

1,5,7,11,19,35,55,77,95,133,209,385,665,1045,1463,7315

Factors of 9617

List of positive integer factors of 9617 that divides 9617 without a remainder.

1,59,163,9617

Greatest Common Factor

We found the factors 7315,9617 . The biggest common factor number is the GCF number.
So the greatest common factor 7315,9617 is 1.

Lets's calculate LCM of 927,6938

Given numbers has no common factors except 1. So, there LCM is their product i.e 6431526

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6431526

Therefore, the GCF of Fractions 7315/927,9617/6938 is 1/6431526

Least Common Multiple of 927,6938 with GCF Formula

Least Common Multiple of 927,6938 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 927,6938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,6938) = 1

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

GCF(927,6938) x common factors =1 x 1 = 1

LCM(927,6938) = ( 927 × 6938 ) / 1

LCM(927,6938) = 6431526 / 1

LCM(927,6938) = 6431526


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 7315/927, 9617/6938

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 7315/927, 9617/6938?

Answer: GCF of Numerators as per given numbers 7315/927, 9617/6938 is

GCF of Numerators i.e. for 7315,9617 is 1

LCM of denominators i.e. for 927,6938 is 6431526.

Thus, GCF of Fractions is 1/6431526.Finally, GCF of Fractions for 7315/927, 9617/6938 is 1/6431526.