GCD of 585, 534, 990, 423 Calculator

Given Input numbers are 585, 534, 990, 423

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

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 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (585, 534, 990, 423) = 3.

Given numbers are 585, 534, 990, 423

The list of prime factors of all numbers are

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

Prime factors of 534 are 2 x 3 x 89

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 585, 534, 990, 423 is 3.

Given numbers are 585, 534, 990, 423

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

Apply this formula for all numbers.

Step1:

LCM(585, 534) = 104130

GCD(585, 534) = ( 585 x 534 ) / 104130

= 585 / 534

= 585

Step2:

LCM(3, 990) = 990

GCD(3, 990) = ( 3 x 990 ) / 990

= 3 / 990

= 3

Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

So, Greatest Common Divisor of 585, 534, 990, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 167, 180, 431
• GCD of 767, 219, 612, 166
• GCD of 788, 544, 116, 593
• GCD of 478, 563, 160, 509
• GCD of 291, 374, 698, 993

Given numbers are 585, 534, 990, 423
The greatest common divisor of numbers 585, 534, 990, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 534, 990, 423 is 3.

1. What is the GCD of 585, 534, 990, 423?

GCD of given numbers 585, 534, 990, 423 is 3

2. How to calculate the greatest common divisor of 585, 534, 990, 423?

We can find the highest common divisor of 585, 534, 990, 423 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 585, 534, 990, 423 i.e 3.

3. How can I use the GCD of 585, 534, 990, 423Calculator?

Out the numbers 585, 534, 990, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.