Greatest Common Factor of 523/69, 159/45, 797/500

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 523/69, 159/45, 797/500

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 523/69,159/45,797/500

Given fractions are 523/69,159/45,797/500

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 523,159,797

Greatest Common Factor of Numerators i.e. GCF of 523,159,797 is 1 .

LCM of Denominators means LCM of 69,45,500 as per the given fractions.

LCM of 69,45,500 is 103500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 523,159,797

GCF of Fractions 523/69,159/45,797/500 is 1/103500

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

Greatest Common Factor of 523,159,797 By Matching Biggest Common Factor Method

Greatest Common Factor of 523,159,797 By Matching Biggest Common Factor Method

Factors of 523

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

1,523

Factors of 159

List of positive integer factors of 159 that divides 159 without a remainder.

1,3,53,159

Factors of 797

List of positive integer factors of 797 that divides 797 without a remainder.

1,797

Greatest Common Factor

We found the factors 523,159,797 . The biggest common factor number is the GCF number.
So the greatest common factor 523,159,797 is 1.

Lets's calculate LCM of 69,45,500

3 69, 45, 500
5 23, 15, 500
23, 3, 100

∴ So the LCM of the given numbers is 3 x 5 x 23 x 3 x 100 = 103500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/103500

Therefore, the GCF of Fractions 523/69,159/45,797/500 is 1/103500

Least Common Multiple of 69,45,500 with GCF Formula

Least Common Multiple of 69,45,500 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 69,45,500 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,45,500) = 1

common factors(in case of two or more numbers have common factors) = 15

GCF(69,45,500) x common factors =1 x 15 = 15

LCM(69,45,500) = ( 69 × 45 × 500 ) / 15

LCM(69,45,500) = 1552500 / 15

LCM(69,45,500) = 103500


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 523/69, 159/45, 797/500

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 523/69, 159/45, 797/500?

Answer: GCF of Numerators as per given numbers 523/69, 159/45, 797/500 is

GCF of Numerators i.e. for 523,159,797 is 1

LCM of denominators i.e. for 69,45,500 is 103500.

Thus, GCF of Fractions is 1/103500.Finally, GCF of Fractions for 523/69, 159/45, 797/500 is 1/103500.