GCD of 231, 108, 441, 570 Calculator

Given Input numbers are 231, 108, 441, 570

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

Divisors of 231 :

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

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 570 :

The positive integer divisors of 570 that completely divides 570 are.

1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570

GCD of numbers is the greatest common divisor

So, the GCD (231, 108, 441, 570) = 3.

Given numbers are 231, 108, 441, 570

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 570 are 2 x 3 x 5 x 19

The highest common occurrence is 3¹

Therefore, GCD of 231, 108, 441, 570 is 3.

Given numbers are 231, 108, 441, 570

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

Apply this formula for all numbers.

Step1:

LCM(231, 108) = 8316

GCD(231, 108) = ( 231 x 108 ) / 8316

= 231 / 108

= 231

Step2:

LCM(3, 441) = 441

GCD(3, 441) = ( 3 x 441 ) / 441

= 3 / 441

= 3

Step3:

LCM(3, 570) = 570

GCD(3, 570) = ( 3 x 570 ) / 570

= 3 / 570

= 3

So, Greatest Common Divisor of 231, 108, 441, 570 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 862, 619, 744, 333
• GCD of 109, 998, 781, 937
• GCD of 360, 122, 917, 164
• GCD of 603, 148, 615, 842
• GCD of 701, 281, 689, 908

Given numbers are 231, 108, 441, 570
The greatest common divisor of numbers 231, 108, 441, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 108, 441, 570 is 3.

1. What is the GCD of 231, 108, 441, 570?

GCD of given numbers 231, 108, 441, 570 is 3

2. How to calculate the greatest common divisor of 231, 108, 441, 570?

We can find the highest common divisor of 231, 108, 441, 570 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 231, 108, 441, 570 i.e 3.

3. How can I use the GCD of 231, 108, 441, 570Calculator?

Out the numbers 231, 108, 441, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.