Greatest Common Factor of 9394/231, 7378/5315

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9394/231, 7378/5315

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 9394/231,7378/5315

Given fractions are 9394/231,7378/5315

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 9394,7378

Greatest Common Factor of Numerators i.e. GCF of 9394,7378 is 14 .

LCM of Denominators means LCM of 231,5315 as per the given fractions.

LCM of 231,5315 is 1227765 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9394,7378

GCF of Fractions 9394/231,7378/5315 is 14/1227765

2 9394, 7378
7 4697, 3689
671, 527

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 9394,7378 By Matching Biggest Common Factor Method

Greatest Common Factor of 9394,7378 By Matching Biggest Common Factor Method

Factors of 9394

List of positive integer factors of 9394 that divides 9394 without a remainder.

1,2,7,11,14,22,61,77,122,154,427,671,854,1342,4697,9394

Factors of 7378

List of positive integer factors of 7378 that divides 7378 without a remainder.

1,2,7,14,17,31,34,62,119,217,238,434,527,1054,3689,7378

Greatest Common Factor

We found the factors 9394,7378 . The biggest common factor number is the GCF number.
So the greatest common factor 9394,7378 is 14.

Lets's calculate LCM of 231,5315

Given numbers has no common factors except 1. So, there LCM is their product i.e 1227765

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/1227765

Therefore, the GCF of Fractions 9394/231,7378/5315 is 14/1227765

Least Common Multiple of 231,5315 with GCF Formula

Least Common Multiple of 231,5315 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 231,5315 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(231,5315) = 1

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

GCF(231,5315) x common factors =1 x 1 = 1

LCM(231,5315) = ( 231 × 5315 ) / 1

LCM(231,5315) = 1227765 / 1

LCM(231,5315) = 1227765


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 9394/231, 7378/5315

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 9394/231, 7378/5315?

Answer: GCF of Numerators as per given numbers 9394/231, 7378/5315 is

GCF of Numerators i.e. for 9394,7378 is 14

LCM of denominators i.e. for 231,5315 is 1227765.

Thus, GCF of Fractions is 14/1227765.Finally, GCF of Fractions for 9394/231, 7378/5315 is 14/1227765.