Greatest Common Factor of 90/450, 37/326, 820/673

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/450, 37/326, 820/673

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 90/450,37/326,820/673

Given fractions are 90/450,37/326,820/673

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 90,37,820

Greatest Common Factor of Numerators i.e. GCF of 90,37,820 is 1 .

LCM of Denominators means LCM of 450,326,673 as per the given fractions.

LCM of 450,326,673 is 49364550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,37,820

GCF of Fractions 90/450,37/326,820/673 is 1/49364550

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

Greatest Common Factor of 90,37,820 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,37,820 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 820

List of positive integer factors of 820 that divides 820 without a remainder.

1,2,4,5,10,20,41,82,164,205,410,820

Greatest Common Factor

We found the factors 90,37,820 . The biggest common factor number is the GCF number.
So the greatest common factor 90,37,820 is 1.

Lets's calculate LCM of 450,326,673

2 450, 326, 673
225, 163, 673

∴ So the LCM of the given numbers is 2 x 225 x 163 x 673 = 49364550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49364550

Therefore, the GCF of Fractions 90/450,37/326,820/673 is 1/49364550

Least Common Multiple of 450,326,673 with GCF Formula

Least Common Multiple of 450,326,673 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 450,326,673 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,326,673) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(450,326,673) x common factors =1 x 2 = 2

LCM(450,326,673) = ( 450 × 326 × 673 ) / 2

LCM(450,326,673) = 98729100 / 2

LCM(450,326,673) = 49364550


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 90/450, 37/326, 820/673

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 90/450, 37/326, 820/673?

Answer: GCF of Numerators as per given numbers 90/450, 37/326, 820/673 is

GCF of Numerators i.e. for 90,37,820 is 1

LCM of denominators i.e. for 450,326,673 is 49364550.

Thus, GCF of Fractions is 1/49364550.Finally, GCF of Fractions for 90/450, 37/326, 820/673 is 1/49364550.