GCD of 594, 354, 231, 585 Calculator

Given Input numbers are 594, 354, 231, 585

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

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

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

GCD of numbers is the greatest common divisor

So, the GCD (594, 354, 231, 585) = 3.

Given numbers are 594, 354, 231, 585

The list of prime factors of all numbers are

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 354 are 2 x 3 x 59

Prime factors of 231 are 3 x 7 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 594, 354, 231, 585 is 3.

Given numbers are 594, 354, 231, 585

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

Apply this formula for all numbers.

Step1:

LCM(594, 354) = 35046

GCD(594, 354) = ( 594 x 354 ) / 35046

= 594 / 354

= 594

Step2:

LCM(6, 231) = 462

GCD(6, 231) = ( 6 x 231 ) / 462

= 6 / 231

= 6

Step3:

LCM(3, 585) = 585

GCD(3, 585) = ( 3 x 585 ) / 585

= 3 / 585

= 3

So, Greatest Common Divisor of 594, 354, 231, 585 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 558, 272, 327, 988
• GCD of 308, 207, 462, 134
• GCD of 370, 106, 309, 933
• GCD of 642, 586, 460, 475
• GCD of 765, 949, 460, 429

Given numbers are 594, 354, 231, 585
The greatest common divisor of numbers 594, 354, 231, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 594, 354, 231, 585 is 3.

1. What is the GCD of 594, 354, 231, 585?

GCD of given numbers 594, 354, 231, 585 is 3

2. How to calculate the greatest common divisor of 594, 354, 231, 585?

We can find the highest common divisor of 594, 354, 231, 585 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 594, 354, 231, 585 i.e 3.

3. How can I use the GCD of 594, 354, 231, 585Calculator?

Out the numbers 594, 354, 231, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.