Greatest Common Factor of 150/45, 313/3839

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 150/45, 313/3839

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 150/45,313/3839

Given fractions are 150/45,313/3839

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 150,313

Greatest Common Factor of Numerators i.e. GCF of 150,313 is 1 .

LCM of Denominators means LCM of 45,3839 as per the given fractions.

LCM of 45,3839 is 172755 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 150,313

GCF of Fractions 150/45,313/3839 is 1/172755

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

Greatest Common Factor of 150,313 By Matching Biggest Common Factor Method

Greatest Common Factor of 150,313 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 313

List of positive integer factors of 313 that divides 313 without a remainder.

1,313

Greatest Common Factor

We found the factors 150,313 . The biggest common factor number is the GCF number.
So the greatest common factor 150,313 is 1.

Lets's calculate LCM of 45,3839

Given numbers has no common factors except 1. So, there LCM is their product i.e 172755

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/172755

Therefore, the GCF of Fractions 150/45,313/3839 is 1/172755

Least Common Multiple of 45,3839 with GCF Formula

Least Common Multiple of 45,3839 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 45,3839 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(45,3839) = 1

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

GCF(45,3839) x common factors =1 x 1 = 1

LCM(45,3839) = ( 45 × 3839 ) / 1

LCM(45,3839) = 172755 / 1

LCM(45,3839) = 172755


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 150/45, 313/3839

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 150/45, 313/3839?

Answer: GCF of Numerators as per given numbers 150/45, 313/3839 is

GCF of Numerators i.e. for 150,313 is 1

LCM of denominators i.e. for 45,3839 is 172755.

Thus, GCF of Fractions is 1/172755.Finally, GCF of Fractions for 150/45, 313/3839 is 1/172755.