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GCD of 564, 660, 239, 689 Calculator

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


Online GCD Calculator is useful to find the GCD of 564, 660, 239, 689 quickly. Get the easiest ways to solve the greatest common divisor of 564, 660, 239, 689 i.e 1 in different methods as follows.

GCD of

How to Find GCD of Numbers 564, 660, 239, 689 with Factoring?

Given Input numbers are 564, 660, 239, 689

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 239 :

The positive integer divisors of 239 that completely divides 239 are.

1, 239

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689


GCD of numbers is the greatest common divisor

So, the GCD (564, 660, 239, 689) = 1.

Find GCD of 564, 660, 239, 689 using Prime Factorization

Given numbers are 564, 660, 239, 689

The list of prime factors of all numbers are

Prime factors of 564 are 2 x 2 x 3 x 47

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

Prime factors of 239 are 239

Prime factors of 689 are 13 x 53

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

Steps to Calculate GCD of 564, 660, 239, 689 using LCM Formula

Given numbers are 564, 660, 239, 689

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

Apply this formula for all numbers.

Step1:

LCM(564, 660) = 31020

GCD(564, 660) = ( 564 x 660 ) / 31020

= 564 / 660

= 564


Step2:

LCM(12, 239) = 2868

GCD(12, 239) = ( 12 x 239 ) / 2868

= 12 / 239

= 12


Step3:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1


So, Greatest Common Divisor of 564, 660, 239, 689 is 1

GCD of Numbers Calculation Examples

Greatest Common Divisor of 564, 660, 239, 689

Given numbers are 564, 660, 239, 689
The greatest common divisor of numbers 564, 660, 239, 689 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 660, 239, 689 is 1.

FAQs on GCD of 564, 660, 239, 689 Calculator

1. What is the GCD of 564, 660, 239, 689?

GCD of given numbers 564, 660, 239, 689 is 1


2. How to calculate the greatest common divisor of 564, 660, 239, 689?

We can find the highest common divisor of 564, 660, 239, 689 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 564, 660, 239, 689 i.e 1.


3. How can I use the GCD of 564, 660, 239, 689Calculator?

Out the numbers 564, 660, 239, 689 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.