Greatest Common Factor of 89/211, 523/903, 580/792

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 89/211, 523/903, 580/792

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 89/211,523/903,580/792

Given fractions are 89/211,523/903,580/792

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 89,523,580

Greatest Common Factor of Numerators i.e. GCF of 89,523,580 is 1 .

LCM of Denominators means LCM of 211,903,792 as per the given fractions.

LCM of 211,903,792 is 50300712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 89,523,580

GCF of Fractions 89/211,523/903,580/792 is 1/50300712

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

Greatest Common Factor of 89,523,580 By Matching Biggest Common Factor Method

Greatest Common Factor of 89,523,580 By Matching Biggest Common Factor Method

Factors of 89

List of positive integer factors of 89 that divides 89 without a remainder.

1,89

Factors of 523

List of positive integer factors of 523 that divides 523 without a remainder.

1,523

Factors of 580

List of positive integer factors of 580 that divides 580 without a remainder.

1,2,4,5,10,20,29,58,116,145,290,580

Greatest Common Factor

We found the factors 89,523,580 . The biggest common factor number is the GCF number.
So the greatest common factor 89,523,580 is 1.

Lets's calculate LCM of 211,903,792

3 211, 903, 792
211, 301, 264

∴ So the LCM of the given numbers is 3 x 211 x 301 x 264 = 50300712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/50300712

Therefore, the GCF of Fractions 89/211,523/903,580/792 is 1/50300712

Least Common Multiple of 211,903,792 with GCF Formula

Least Common Multiple of 211,903,792 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 211,903,792 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(211,903,792) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(211,903,792) x common factors =1 x 3 = 3

LCM(211,903,792) = ( 211 × 903 × 792 ) / 3

LCM(211,903,792) = 150902136 / 3

LCM(211,903,792) = 50300712


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 89/211, 523/903, 580/792

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 89/211, 523/903, 580/792?

Answer: GCF of Numerators as per given numbers 89/211, 523/903, 580/792 is

GCF of Numerators i.e. for 89,523,580 is 1

LCM of denominators i.e. for 211,903,792 is 50300712.

Thus, GCF of Fractions is 1/50300712.Finally, GCF of Fractions for 89/211, 523/903, 580/792 is 1/50300712.