Greatest Common Factor of 944/567, 326/150

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 944/567, 326/150

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 944/567,326/150

Given fractions are 944/567,326/150

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 944,326

Greatest Common Factor of Numerators i.e. GCF of 944,326 is 2 .

LCM of Denominators means LCM of 567,150 as per the given fractions.

LCM of 567,150 is 28350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 944,326

GCF of Fractions 944/567,326/150 is 2/28350

2 944, 326
472, 163

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

Greatest Common Factor of 944,326 By Matching Biggest Common Factor Method

Greatest Common Factor of 944,326 By Matching Biggest Common Factor Method

Factors of 944

List of positive integer factors of 944 that divides 944 without a remainder.

1,2,4,8,16,59,118,236,472,944

Factors of 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Greatest Common Factor

We found the factors 944,326 . The biggest common factor number is the GCF number.
So the greatest common factor 944,326 is 2.

Lets's calculate LCM of 567,150

3 567, 150
189, 50

∴ So the LCM of the given numbers is 3 x 189 x 50 = 28350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28350

Therefore, the GCF of Fractions 944/567,326/150 is 2/28350

Least Common Multiple of 567,150 with GCF Formula

Least Common Multiple of 567,150 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 567,150 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(567,150) = 3

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

GCF(567,150) x common factors =3 x 1 = 3

LCM(567,150) = ( 567 × 150 ) / 3

LCM(567,150) = 85050 / 3

LCM(567,150) = 28350


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 944/567, 326/150

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 944/567, 326/150?

Answer: GCF of Numerators as per given numbers 944/567, 326/150 is

GCF of Numerators i.e. for 944,326 is 2

LCM of denominators i.e. for 567,150 is 28350.

Thus, GCF of Fractions is 2/28350.Finally, GCF of Fractions for 944/567, 326/150 is 2/28350.