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GCD of 660, 309, 721, 572 Calculator

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


Online GCD Calculator is useful to find the GCD of 660, 309, 721, 572 quickly. Get the easiest ways to solve the greatest common divisor of 660, 309, 721, 572 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 660, 309, 721, 572 with Factoring?

Given Input numbers are 660, 309, 721, 572

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

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 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572


GCD of numbers is the greatest common divisor

So, the GCD (660, 309, 721, 572) = 1.

Find GCD of 660, 309, 721, 572 using Prime Factorization

Given numbers are 660, 309, 721, 572

The list of prime factors of all numbers are

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

Prime factors of 309 are 3 x 103

Prime factors of 721 are 7 x 103

Prime factors of 572 are 2 x 2 x 11 x 13

The above numbers do not have any common prime factor. So GCD is 1

Steps to Calculate GCD of 660, 309, 721, 572 using LCM Formula

Given numbers are 660, 309, 721, 572

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

Apply this formula for all numbers.

Step1:

LCM(660, 309) = 67980

GCD(660, 309) = ( 660 x 309 ) / 67980

= 660 / 309

= 660


Step2:

LCM(3, 721) = 2163

GCD(3, 721) = ( 3 x 721 ) / 2163

= 3 / 721

= 3


Step3:

LCM(1, 572) = 572

GCD(1, 572) = ( 1 x 572 ) / 572

= 1 / 572

= 1


So, Greatest Common Divisor of 660, 309, 721, 572 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 660, 309, 721, 572

Given numbers are 660, 309, 721, 572
The greatest common divisor of numbers 660, 309, 721, 572 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 309, 721, 572 is 1.

FAQs on GCD of 660, 309, 721, 572 Calculator

1. What is the GCD of 660, 309, 721, 572?

GCD of given numbers 660, 309, 721, 572 is 1


2. How to calculate the greatest common divisor of 660, 309, 721, 572?

We can find the highest common divisor of 660, 309, 721, 572 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 660, 309, 721, 572 i.e 1.


3. How can I use the GCD of 660, 309, 721, 572Calculator?

Out the numbers 660, 309, 721, 572 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.