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GCD of 711, 591, 72 Calculator

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023


Online GCD Calculator is useful to find the GCD of 711, 591, 72 quickly. Get the easiest ways to solve the greatest common divisor of 711, 591, 72 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 711, 591, 72 with Factoring?

Given Input numbers are 711, 591, 72

In the factoring method, we have to find the divisors of all numbers

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

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


GCD of numbers is the greatest common divisor

So, the GCD (711, 591, 72) = 3.

Find GCD of 711, 591, 72 using Prime Factorization

Given numbers are 711, 591, 72

The list of prime factors of all numbers are

Prime factors of 711 are 3 x 3 x 79

Prime factors of 591 are 3 x 197

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

The highest common occurrence is 31

Therefore, GCD of 711, 591, 72 is 3.

Steps to Calculate GCD of 711, 591, 72 using LCM Formula

Given numbers are 711, 591, 72

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(711, 591) = 140067

GCD(711, 591) = ( 711 x 591 ) / 140067

= 711 / 591

= 711


Step2:

LCM(3, 72) = 72

GCD(3, 72) = ( 3 x 72 ) / 72

= 3 / 72

= 3


So, Greatest Common Divisor of 711, 591, 72 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 711, 591, 72

Given numbers are 711, 591, 72
The greatest common divisor of numbers 711, 591, 72 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 711, 591, 72 is 3.

FAQs on GCD of 711, 591, 72 Calculator

1. What is the GCD of 711, 591, 72?

GCD of given numbers 711, 591, 72 is 3


2. How to calculate the greatest common divisor of 711, 591, 72?

We can find the highest common divisor of 711, 591, 72 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 711, 591, 72 i.e 3.


3. How can I use the GCD of 711, 591, 72Calculator?

Out the numbers 711, 591, 72 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.