Greatest Common Factor of 9227/720, 5415/3782

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9227/720, 5415/3782

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 9227/720,5415/3782

Given fractions are 9227/720,5415/3782

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 9227,5415

Greatest Common Factor of Numerators i.e. GCF of 9227,5415 is 1 .

LCM of Denominators means LCM of 720,3782 as per the given fractions.

LCM of 720,3782 is 1361520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9227,5415

GCF of Fractions 9227/720,5415/3782 is 1/1361520

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

Greatest Common Factor of 9227,5415 By Matching Biggest Common Factor Method

Greatest Common Factor of 9227,5415 By Matching Biggest Common Factor Method

Factors of 9227

List of positive integer factors of 9227 that divides 9227 without a remainder.

1,9227

Factors of 5415

List of positive integer factors of 5415 that divides 5415 without a remainder.

1,3,5,15,19,57,95,285,361,1083,1805,5415

Greatest Common Factor

We found the factors 9227,5415 . The biggest common factor number is the GCF number.
So the greatest common factor 9227,5415 is 1.

Lets's calculate LCM of 720,3782

2 720, 3782
360, 1891

∴ So the LCM of the given numbers is 2 x 360 x 1891 = 1361520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1361520

Therefore, the GCF of Fractions 9227/720,5415/3782 is 1/1361520

Least Common Multiple of 720,3782 with GCF Formula

Least Common Multiple of 720,3782 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 720,3782 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(720,3782) = 2

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

GCF(720,3782) x common factors =2 x 1 = 2

LCM(720,3782) = ( 720 × 3782 ) / 2

LCM(720,3782) = 2723040 / 2

LCM(720,3782) = 1361520


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 9227/720, 5415/3782

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 9227/720, 5415/3782?

Answer: GCF of Numerators as per given numbers 9227/720, 5415/3782 is

GCF of Numerators i.e. for 9227,5415 is 1

LCM of denominators i.e. for 720,3782 is 1361520.

Thus, GCF of Fractions is 1/1361520.Finally, GCF of Fractions for 9227/720, 5415/3782 is 1/1361520.