Greatest Common Factor of 529/558, 623/450, 791/915

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 529/558, 623/450, 791/915

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 529/558,623/450,791/915

Given fractions are 529/558,623/450,791/915

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 529,623,791

Greatest Common Factor of Numerators i.e. GCF of 529,623,791 is 1 .

LCM of Denominators means LCM of 558,450,915 as per the given fractions.

LCM of 558,450,915 is 850950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 529,623,791

GCF of Fractions 529/558,623/450,791/915 is 1/850950

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

Greatest Common Factor of 529,623,791 By Matching Biggest Common Factor Method

Greatest Common Factor of 529,623,791 By Matching Biggest Common Factor Method

Factors of 529

List of positive integer factors of 529 that divides 529 without a remainder.

1,23,529

Factors of 623

List of positive integer factors of 623 that divides 623 without a remainder.

1,7,89,623

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Greatest Common Factor

We found the factors 529,623,791 . The biggest common factor number is the GCF number.
So the greatest common factor 529,623,791 is 1.

Lets's calculate LCM of 558,450,915

2 558, 450, 915
3 279, 225, 915
3 93, 75, 305
5 31, 25, 305
31, 5, 61

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 31 x 5 x 61 = 850950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/850950

Therefore, the GCF of Fractions 529/558,623/450,791/915 is 1/850950

Least Common Multiple of 558,450,915 with GCF Formula

Least Common Multiple of 558,450,915 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 558,450,915 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(558,450,915) = 3

common factors(in case of two or more numbers have common factors) = 90

GCF(558,450,915) x common factors =3 x 90 = 270

LCM(558,450,915) = ( 558 × 450 × 915 ) / 270

LCM(558,450,915) = 229756500 / 270

LCM(558,450,915) = 850950


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 529/558, 623/450, 791/915

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 529/558, 623/450, 791/915?

Answer: GCF of Numerators as per given numbers 529/558, 623/450, 791/915 is

GCF of Numerators i.e. for 529,623,791 is 1

LCM of denominators i.e. for 558,450,915 is 850950.

Thus, GCF of Fractions is 1/850950.Finally, GCF of Fractions for 529/558, 623/450, 791/915 is 1/850950.