Greatest Common Factor of 538/75, 519/87, 737/582

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 538/75, 519/87, 737/582

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 538/75,519/87,737/582

Given fractions are 538/75,519/87,737/582

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 538,519,737

Greatest Common Factor of Numerators i.e. GCF of 538,519,737 is 1 .

LCM of Denominators means LCM of 75,87,582 as per the given fractions.

LCM of 75,87,582 is 421950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 538,519,737

GCF of Fractions 538/75,519/87,737/582 is 1/421950

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

Greatest Common Factor of 538,519,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 538,519,737 By Matching Biggest Common Factor Method

Factors of 538

List of positive integer factors of 538 that divides 538 without a remainder.

1,2,269,538

Factors of 519

List of positive integer factors of 519 that divides 519 without a remainder.

1,3,173,519

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 538,519,737 . The biggest common factor number is the GCF number.
So the greatest common factor 538,519,737 is 1.

Lets's calculate LCM of 75,87,582

3 75, 87, 582
25, 29, 194

∴ So the LCM of the given numbers is 3 x 25 x 29 x 194 = 421950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/421950

Therefore, the GCF of Fractions 538/75,519/87,737/582 is 1/421950

Least Common Multiple of 75,87,582 with GCF Formula

Least Common Multiple of 75,87,582 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 75,87,582 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,87,582) = 3

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

GCF(75,87,582) x common factors =3 x 3 = 9

LCM(75,87,582) = ( 75 × 87 × 582 ) / 9

LCM(75,87,582) = 3797550 / 9

LCM(75,87,582) = 421950


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 538/75, 519/87, 737/582

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 538/75, 519/87, 737/582?

Answer: GCF of Numerators as per given numbers 538/75, 519/87, 737/582 is

GCF of Numerators i.e. for 538,519,737 is 1

LCM of denominators i.e. for 75,87,582 is 421950.

Thus, GCF of Fractions is 1/421950.Finally, GCF of Fractions for 538/75, 519/87, 737/582 is 1/421950.