GCD of 213, 531, 438, 591 Calculator

Given Input numbers are 213, 531, 438, 591

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

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

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 (213, 531, 438, 591) = 3.

Given numbers are 213, 531, 438, 591

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 531 are 3 x 3 x 59

Prime factors of 438 are 2 x 3 x 73

Prime factors of 591 are 3 x 197

The highest common occurrence is 3¹

Therefore, GCD of 213, 531, 438, 591 is 3.

Given numbers are 213, 531, 438, 591

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

Apply this formula for all numbers.

Step1:

LCM(213, 531) = 37701

GCD(213, 531) = ( 213 x 531 ) / 37701

= 213 / 531

= 213

Step2:

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

= 3 / 438

= 3

Step3:

LCM(3, 591) = 591

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

= 3 / 591

= 3

So, Greatest Common Divisor of 213, 531, 438, 591 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 412, 237, 370, 591
• GCD of 802, 944, 174, 983
• GCD of 812, 190, 265, 467
• GCD of 119, 987, 717, 818
• GCD of 722, 220, 524, 150

Given numbers are 213, 531, 438, 591
The greatest common divisor of numbers 213, 531, 438, 591 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 531, 438, 591 is 3.

1. What is the GCD of 213, 531, 438, 591?

GCD of given numbers 213, 531, 438, 591 is 3

2. How to calculate the greatest common divisor of 213, 531, 438, 591?

We can find the highest common divisor of 213, 531, 438, 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 213, 531, 438, 591 i.e 3.

3. How can I use the GCD of 213, 531, 438, 591Calculator?

Out the numbers 213, 531, 438, 591 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.