GCD of 493, 585, 689, 660 Calculator

Given Input numbers are 493, 585, 689, 660

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 689 :

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

1, 13, 53, 689

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

GCD of numbers is the greatest common divisor

So, the GCD (493, 585, 689, 660) = 1.

Given numbers are 493, 585, 689, 660

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 689 are 13 x 53

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

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

Given numbers are 493, 585, 689, 660

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

Apply this formula for all numbers.

Step1:

LCM(493, 585) = 288405

GCD(493, 585) = ( 493 x 585 ) / 288405

= 493 / 585

= 493

Step2:

LCM(1, 689) = 689

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

= 1 / 689

= 1

Step3:

LCM(1, 660) = 660

GCD(1, 660) = ( 1 x 660 ) / 660

= 1 / 660

= 1

So, Greatest Common Divisor of 493, 585, 689, 660 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 891, 130, 223, 305
• GCD of 741, 353, 493, 872
• GCD of 671, 467, 920, 671
• GCD of 230, 418, 209, 202
• GCD of 488, 843, 173, 137

Given numbers are 493, 585, 689, 660
The greatest common divisor of numbers 493, 585, 689, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 585, 689, 660 is 1.

1. What is the GCD of 493, 585, 689, 660?

GCD of given numbers 493, 585, 689, 660 is 1

2. How to calculate the greatest common divisor of 493, 585, 689, 660?

We can find the highest common divisor of 493, 585, 689, 660 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 493, 585, 689, 660 i.e 1.

3. How can I use the GCD of 493, 585, 689, 660Calculator?

Out the numbers 493, 585, 689, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.