Greatest Common Factor of 9185/58, 3012/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9185/58, 3012/332

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 9185/58,3012/332

Given fractions are 9185/58,3012/332

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 9185,3012

Greatest Common Factor of Numerators i.e. GCF of 9185,3012 is 1 .

LCM of Denominators means LCM of 58,332 as per the given fractions.

LCM of 58,332 is 9628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9185,3012

GCF of Fractions 9185/58,3012/332 is 1/9628

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

Greatest Common Factor of 9185,3012 By Matching Biggest Common Factor Method

Greatest Common Factor of 9185,3012 By Matching Biggest Common Factor Method

Factors of 9185

List of positive integer factors of 9185 that divides 9185 without a remainder.

1,5,11,55,167,835,1837,9185

Factors of 3012

List of positive integer factors of 3012 that divides 3012 without a remainder.

1,2,3,4,6,12,251,502,753,1004,1506,3012

Greatest Common Factor

We found the factors 9185,3012 . The biggest common factor number is the GCF number.
So the greatest common factor 9185,3012 is 1.

Lets's calculate LCM of 58,332

2 58, 332
29, 166

∴ So the LCM of the given numbers is 2 x 29 x 166 = 9628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9628

Therefore, the GCF of Fractions 9185/58,3012/332 is 1/9628

Least Common Multiple of 58,332 with GCF Formula

Least Common Multiple of 58,332 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 58,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,332) = 2

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

GCF(58,332) x common factors =2 x 1 = 2

LCM(58,332) = ( 58 × 332 ) / 2

LCM(58,332) = 19256 / 2

LCM(58,332) = 9628


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 9185/58, 3012/332

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 9185/58, 3012/332?

Answer: GCF of Numerators as per given numbers 9185/58, 3012/332 is

GCF of Numerators i.e. for 9185,3012 is 1

LCM of denominators i.e. for 58,332 is 9628.

Thus, GCF of Fractions is 1/9628.Finally, GCF of Fractions for 9185/58, 3012/332 is 1/9628.