Greatest Common Factor of 1500/186, 2254/458

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1500/186, 2254/458

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 1500/186,2254/458

Given fractions are 1500/186,2254/458

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 1500,2254

Greatest Common Factor of Numerators i.e. GCF of 1500,2254 is 2 .

LCM of Denominators means LCM of 186,458 as per the given fractions.

LCM of 186,458 is 42594 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1500,2254

GCF of Fractions 1500/186,2254/458 is 2/42594

2 1500, 2254
750, 1127

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1500,2254 By Matching Biggest Common Factor Method

Greatest Common Factor of 1500,2254 By Matching Biggest Common Factor Method

Factors of 1500

List of positive integer factors of 1500 that divides 1500 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,125,150,250,300,375,500,750,1500

Factors of 2254

List of positive integer factors of 2254 that divides 2254 without a remainder.

1,2,7,14,23,46,49,98,161,322,1127,2254

Greatest Common Factor

We found the factors 1500,2254 . The biggest common factor number is the GCF number.
So the greatest common factor 1500,2254 is 2.

Lets's calculate LCM of 186,458

2 186, 458
93, 229

∴ So the LCM of the given numbers is 2 x 93 x 229 = 42594

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/42594

Therefore, the GCF of Fractions 1500/186,2254/458 is 2/42594

Least Common Multiple of 186,458 with GCF Formula

Least Common Multiple of 186,458 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 186,458 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(186,458) = 2

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

GCF(186,458) x common factors =2 x 1 = 2

LCM(186,458) = ( 186 × 458 ) / 2

LCM(186,458) = 85188 / 2

LCM(186,458) = 42594


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 1500/186, 2254/458

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 1500/186, 2254/458?

Answer: GCF of Numerators as per given numbers 1500/186, 2254/458 is

GCF of Numerators i.e. for 1500,2254 is 2

LCM of denominators i.e. for 186,458 is 42594.

Thus, GCF of Fractions is 2/42594.Finally, GCF of Fractions for 1500/186, 2254/458 is 2/42594.