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GCD of 390, 573, 660, 591 Calculator

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


Online GCD Calculator is useful to find the GCD of 390, 573, 660, 591 quickly. Get the easiest ways to solve the greatest common divisor of 390, 573, 660, 591 i.e 3 in different methods as follows.

GCD of

How to Find GCD of Numbers 390, 573, 660, 591 with Factoring?

Given Input numbers are 390, 573, 660, 591

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 573 :

The positive integer divisors of 573 that completely divides 573 are.

1, 3, 191, 573

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 591 :

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

1, 3, 197, 591


GCD of numbers is the greatest common divisor

So, the GCD (390, 573, 660, 591) = 3.

Find GCD of 390, 573, 660, 591 using Prime Factorization

Given numbers are 390, 573, 660, 591

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 573 are 3 x 191

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 591 are 3 x 197

The highest common occurrence is 31

Therefore, GCD of 390, 573, 660, 591 is 3.

Steps to Calculate GCD of 390, 573, 660, 591 using LCM Formula

Given numbers are 390, 573, 660, 591

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

Apply this formula for all numbers.

Step1:

LCM(390, 573) = 74490

GCD(390, 573) = ( 390 x 573 ) / 74490

= 390 / 573

= 390


Step2:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3


Step3:

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

= 3 / 591

= 3


So, Greatest Common Divisor of 390, 573, 660, 591 is 3

GCD of Numbers Calculation Examples

Greatest Common Divisor of 390, 573, 660, 591

Given numbers are 390, 573, 660, 591
The greatest common divisor of numbers 390, 573, 660, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 573, 660, 591 is 3.

FAQs on GCD of 390, 573, 660, 591 Calculator

1. What is the GCD of 390, 573, 660, 591?

GCD of given numbers 390, 573, 660, 591 is 3


2. How to calculate the greatest common divisor of 390, 573, 660, 591?

We can find the highest common divisor of 390, 573, 660, 591 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 390, 573, 660, 591 i.e 3.


3. How can I use the GCD of 390, 573, 660, 591Calculator?

Out the numbers 390, 573, 660, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.