Greatest Common Factor of 90/952, 333/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/952, 333/523

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 90/952,333/523

Given fractions are 90/952,333/523

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 90,333

Greatest Common Factor of Numerators i.e. GCF of 90,333 is 9 .

LCM of Denominators means LCM of 952,523 as per the given fractions.

LCM of 952,523 is 497896 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,333

GCF of Fractions 90/952,333/523 is 9/497896

3 90, 333
3 30, 111
10, 37

∴ So the GCF of the given numbers is 3 x 3 = 9

Greatest Common Factor of 90,333 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,333 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 333

List of positive integer factors of 333 that divides 333 without a remainder.

1,3,9,37,111,333

Greatest Common Factor

We found the factors 90,333 . The biggest common factor number is the GCF number.
So the greatest common factor 90,333 is 9.

Lets's calculate LCM of 952,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 497896

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/497896

Therefore, the GCF of Fractions 90/952,333/523 is 9/497896

Least Common Multiple of 952,523 with GCF Formula

Least Common Multiple of 952,523 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 952,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(952,523) = 1

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

GCF(952,523) x common factors =1 x 1 = 1

LCM(952,523) = ( 952 × 523 ) / 1

LCM(952,523) = 497896 / 1

LCM(952,523) = 497896


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 90/952, 333/523

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 90/952, 333/523?

Answer: GCF of Numerators as per given numbers 90/952, 333/523 is

GCF of Numerators i.e. for 90,333 is 9

LCM of denominators i.e. for 952,523 is 497896.

Thus, GCF of Fractions is 9/497896.Finally, GCF of Fractions for 90/952, 333/523 is 9/497896.