GCD of 966, 882, 231, 570 Calculator

Given Input numbers are 966, 882, 231, 570

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 231 :

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

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

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 (966, 882, 231, 570) = 3.

Given numbers are 966, 882, 231, 570

The list of prime factors of all numbers are

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

Prime factors of 231 are 3 x 7 x 11

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

The highest common occurrence is 3¹

Therefore, GCD of 966, 882, 231, 570 is 3.

Given numbers are 966, 882, 231, 570

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

Apply this formula for all numbers.

Step1:

LCM(966, 882) = 20286

GCD(966, 882) = ( 966 x 882 ) / 20286

= 966 / 882

= 966

Step2:

LCM(42, 231) = 462

GCD(42, 231) = ( 42 x 231 ) / 462

= 42 / 231

= 42

Step3:

LCM(21, 570) = 3990

GCD(21, 570) = ( 21 x 570 ) / 3990

= 21 / 570

= 21

So, Greatest Common Divisor of 966, 882, 231, 570 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 933, 699, 168, 477
• GCD of 928, 369, 190, 868
• GCD of 209, 250, 227, 217
• GCD of 625, 288, 769, 589
• GCD of 481, 340, 483, 648

Given numbers are 966, 882, 231, 570
The greatest common divisor of numbers 966, 882, 231, 570 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 966, 882, 231, 570 is 3.

1. What is the GCD of 966, 882, 231, 570?

GCD of given numbers 966, 882, 231, 570 is 3

2. How to calculate the greatest common divisor of 966, 882, 231, 570?

We can find the highest common divisor of 966, 882, 231, 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 966, 882, 231, 570 i.e 3.

3. How can I use the GCD of 966, 882, 231, 570Calculator?

Out the numbers 966, 882, 231, 570 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.