Greatest Common Factor of 72/59, 85/18, 711/518

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 72/59, 85/18, 711/518

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 72/59,85/18,711/518

Given fractions are 72/59,85/18,711/518

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 72,85,711

Greatest Common Factor of Numerators i.e. GCF of 72,85,711 is 1 .

LCM of Denominators means LCM of 59,18,518 as per the given fractions.

LCM of 59,18,518 is 275058 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 72,85,711

GCF of Fractions 72/59,85/18,711/518 is 1/275058

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

Greatest Common Factor of 72,85,711 By Matching Biggest Common Factor Method

Greatest Common Factor of 72,85,711 By Matching Biggest Common Factor Method

Factors of 72

List of positive integer factors of 72 that divides 72 without a remainder.

1,2,3,4,6,8,9,12,18,24,36,72

Factors of 85

List of positive integer factors of 85 that divides 85 without a remainder.

1,5,17,85

Factors of 711

List of positive integer factors of 711 that divides 711 without a remainder.

1,3,9,79,237,711

Greatest Common Factor

We found the factors 72,85,711 . The biggest common factor number is the GCF number.
So the greatest common factor 72,85,711 is 1.

Lets's calculate LCM of 59,18,518

2 59, 18, 518
59, 9, 259

∴ So the LCM of the given numbers is 2 x 59 x 9 x 259 = 275058

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/275058

Therefore, the GCF of Fractions 72/59,85/18,711/518 is 1/275058

Least Common Multiple of 59,18,518 with GCF Formula

Least Common Multiple of 59,18,518 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 59,18,518 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,18,518) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(59,18,518) x common factors =1 x 2 = 2

LCM(59,18,518) = ( 59 × 18 × 518 ) / 2

LCM(59,18,518) = 550116 / 2

LCM(59,18,518) = 275058


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 72/59, 85/18, 711/518

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 72/59, 85/18, 711/518?

Answer: GCF of Numerators as per given numbers 72/59, 85/18, 711/518 is

GCF of Numerators i.e. for 72,85,711 is 1

LCM of denominators i.e. for 59,18,518 is 275058.

Thus, GCF of Fractions is 1/275058.Finally, GCF of Fractions for 72/59, 85/18, 711/518 is 1/275058.