Greatest Common Factor of 5910/31, 9305/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5910/31, 9305/717

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 5910/31,9305/717

Given fractions are 5910/31,9305/717

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 5910,9305

Greatest Common Factor of Numerators i.e. GCF of 5910,9305 is 5 .

LCM of Denominators means LCM of 31,717 as per the given fractions.

LCM of 31,717 is 22227 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5910,9305

GCF of Fractions 5910/31,9305/717 is 5/22227

5 5910, 9305
1182, 1861

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 5910,9305 By Matching Biggest Common Factor Method

Greatest Common Factor of 5910,9305 By Matching Biggest Common Factor Method

Factors of 5910

List of positive integer factors of 5910 that divides 5910 without a remainder.

1,2,3,5,6,10,15,30,197,394,591,985,1182,1970,2955,5910

Factors of 9305

List of positive integer factors of 9305 that divides 9305 without a remainder.

1,5,1861,9305

Greatest Common Factor

We found the factors 5910,9305 . The biggest common factor number is the GCF number.
So the greatest common factor 5910,9305 is 5.

Lets's calculate LCM of 31,717

Given numbers has no common factors except 1. So, there LCM is their product i.e 22227

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/22227

Therefore, the GCF of Fractions 5910/31,9305/717 is 5/22227

Least Common Multiple of 31,717 with GCF Formula

Least Common Multiple of 31,717 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 31,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,717) = 1

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

GCF(31,717) x common factors =1 x 1 = 1

LCM(31,717) = ( 31 × 717 ) / 1

LCM(31,717) = 22227 / 1

LCM(31,717) = 22227


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 5910/31, 9305/717

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 5910/31, 9305/717?

Answer: GCF of Numerators as per given numbers 5910/31, 9305/717 is

GCF of Numerators i.e. for 5910,9305 is 5

LCM of denominators i.e. for 31,717 is 22227.

Thus, GCF of Fractions is 5/22227.Finally, GCF of Fractions for 5910/31, 9305/717 is 5/22227.