Greatest Common Factor of 9086/15, 4257/459

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9086/15, 4257/459

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 9086/15,4257/459

Given fractions are 9086/15,4257/459

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 9086,4257

Greatest Common Factor of Numerators i.e. GCF of 9086,4257 is 11 .

LCM of Denominators means LCM of 15,459 as per the given fractions.

LCM of 15,459 is 2295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9086,4257

GCF of Fractions 9086/15,4257/459 is 11/2295

11 9086, 4257
826, 387

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 9086,4257 By Matching Biggest Common Factor Method

Greatest Common Factor of 9086,4257 By Matching Biggest Common Factor Method

Factors of 9086

List of positive integer factors of 9086 that divides 9086 without a remainder.

1,2,7,11,14,22,59,77,118,154,413,649,826,1298,4543,9086

Factors of 4257

List of positive integer factors of 4257 that divides 4257 without a remainder.

1,3,9,11,33,43,99,129,387,473,1419,4257

Greatest Common Factor

We found the factors 9086,4257 . The biggest common factor number is the GCF number.
So the greatest common factor 9086,4257 is 11.

Lets's calculate LCM of 15,459

3 15, 459
5, 153

∴ So the LCM of the given numbers is 3 x 5 x 153 = 2295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/2295

Therefore, the GCF of Fractions 9086/15,4257/459 is 11/2295

Least Common Multiple of 15,459 with GCF Formula

Least Common Multiple of 15,459 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 15,459 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(15,459) = 3

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

GCF(15,459) x common factors =3 x 1 = 3

LCM(15,459) = ( 15 × 459 ) / 3

LCM(15,459) = 6885 / 3

LCM(15,459) = 2295


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 9086/15, 4257/459

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 9086/15, 4257/459?

Answer: GCF of Numerators as per given numbers 9086/15, 4257/459 is

GCF of Numerators i.e. for 9086,4257 is 11

LCM of denominators i.e. for 15,459 is 2295.

Thus, GCF of Fractions is 11/2295.Finally, GCF of Fractions for 9086/15, 4257/459 is 11/2295.