Greatest Common Factor of 150/488, 300/233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/488, 300/233

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 150/488,300/233

Given fractions are 150/488,300/233

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 150,300

Greatest Common Factor of Numerators i.e. GCF of 150,300 is 150 .

LCM of Denominators means LCM of 488,233 as per the given fractions.

LCM of 488,233 is 113704 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,300

GCF of Fractions 150/488,300/233 is 150/113704

2 150, 300
3 75, 150
5 25, 50
5 5, 10
1, 2

∴ So the GCF of the given numbers is 2 x 3 x 5 x 5 = 150

Greatest Common Factor of 150,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,300 By Matching Biggest Common Factor Method

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 150,300 . The biggest common factor number is the GCF number.
So the greatest common factor 150,300 is 150.

Lets's calculate LCM of 488,233

Given numbers has no common factors except 1. So, there LCM is their product i.e 113704

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 150/113704

Therefore, the GCF of Fractions 150/488,300/233 is 150/113704

Least Common Multiple of 488,233 with GCF Formula

Least Common Multiple of 488,233 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 488,233 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(488,233) = 1

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

GCF(488,233) x common factors =1 x 1 = 1

LCM(488,233) = ( 488 × 233 ) / 1

LCM(488,233) = 113704 / 1

LCM(488,233) = 113704


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 150/488, 300/233

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 150/488, 300/233?

Answer: GCF of Numerators as per given numbers 150/488, 300/233 is

GCF of Numerators i.e. for 150,300 is 150

LCM of denominators i.e. for 488,233 is 113704.

Thus, GCF of Fractions is 150/113704.Finally, GCF of Fractions for 150/488, 300/233 is 150/113704.