Greatest Common Factor of 850/60, 131/90, 906/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 850/60, 131/90, 906/561

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 850/60,131/90,906/561

Given fractions are 850/60,131/90,906/561

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 850,131,906

Greatest Common Factor of Numerators i.e. GCF of 850,131,906 is 1 .

LCM of Denominators means LCM of 60,90,561 as per the given fractions.

LCM of 60,90,561 is 33660 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 850,131,906

GCF of Fractions 850/60,131/90,906/561 is 1/33660

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

Greatest Common Factor of 850,131,906 By Matching Biggest Common Factor Method

Greatest Common Factor of 850,131,906 By Matching Biggest Common Factor Method

Factors of 850

List of positive integer factors of 850 that divides 850 without a remainder.

1,2,5,10,17,25,34,50,85,170,425,850

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Factors of 906

List of positive integer factors of 906 that divides 906 without a remainder.

1,2,3,6,151,302,453,906

Greatest Common Factor

We found the factors 850,131,906 . The biggest common factor number is the GCF number.
So the greatest common factor 850,131,906 is 1.

Lets's calculate LCM of 60,90,561

2 60, 90, 561
3 30, 45, 561
5 10, 15, 187
2, 3, 187

∴ So the LCM of the given numbers is 2 x 3 x 5 x 2 x 3 x 187 = 33660

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/33660

Therefore, the GCF of Fractions 850/60,131/90,906/561 is 1/33660

Least Common Multiple of 60,90,561 with GCF Formula

Least Common Multiple of 60,90,561 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 60,90,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(60,90,561) = 3

common factors(in case of two or more numbers have common factors) = 30

GCF(60,90,561) x common factors =3 x 30 = 90

LCM(60,90,561) = ( 60 × 90 × 561 ) / 90

LCM(60,90,561) = 3029400 / 90

LCM(60,90,561) = 33660


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 850/60, 131/90, 906/561

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 850/60, 131/90, 906/561?

Answer: GCF of Numerators as per given numbers 850/60, 131/90, 906/561 is

GCF of Numerators i.e. for 850,131,906 is 1

LCM of denominators i.e. for 60,90,561 is 33660.

Thus, GCF of Fractions is 1/33660.Finally, GCF of Fractions for 850/60, 131/90, 906/561 is 1/33660.