GCD of 564, 393, 213, 591 Calculator

Given Input numbers are 564, 393, 213, 591

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 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 591 :

The positive integer divisors of 591 that completely divides 591 are.

1, 3, 197, 591

GCD of numbers is the greatest common divisor

So, the GCD (564, 393, 213, 591) = 3.

Given numbers are 564, 393, 213, 591

The list of prime factors of all numbers are

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

Prime factors of 393 are 3 x 131

Prime factors of 213 are 3 x 71

Prime factors of 591 are 3 x 197

The highest common occurrence is 3¹

Therefore, GCD of 564, 393, 213, 591 is 3.

Given numbers are 564, 393, 213, 591

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

Apply this formula for all numbers.

Step1:

LCM(564, 393) = 73884

GCD(564, 393) = ( 564 x 393 ) / 73884

= 564 / 393

= 564

Step2:

LCM(3, 213) = 213

GCD(3, 213) = ( 3 x 213 ) / 213

= 3 / 213

= 3

Step3:

LCM(3, 591) = 591

GCD(3, 591) = ( 3 x 591 ) / 591

= 3 / 591

= 3

So, Greatest Common Divisor of 564, 393, 213, 591 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 685, 983, 103
• GCD of 766, 211, 669, 973
• GCD of 487, 931, 595, 584
• GCD of 539, 987, 949, 936
• GCD of 142, 782, 630, 806

Given numbers are 564, 393, 213, 591
The greatest common divisor of numbers 564, 393, 213, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 393, 213, 591 is 3.

1. What is the GCD of 564, 393, 213, 591?

GCD of given numbers 564, 393, 213, 591 is 3

2. How to calculate the greatest common divisor of 564, 393, 213, 591?

We can find the highest common divisor of 564, 393, 213, 591 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, 393, 213, 591 i.e 3.

3. How can I use the GCD of 564, 393, 213, 591Calculator?

Out the numbers 564, 393, 213, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.