GCD of 570, 936, 666, 309 Calculator

Given Input numbers are 570, 936, 666, 309

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

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 666 :

The positive integer divisors of 666 that completely divides 666 are.

1, 2, 3, 6, 9, 18, 37, 74, 111, 222, 333, 666

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (570, 936, 666, 309) = 3.

Given numbers are 570, 936, 666, 309

The list of prime factors of all numbers are

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

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 666 are 2 x 3 x 3 x 37

Prime factors of 309 are 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 570, 936, 666, 309 is 3.

Given numbers are 570, 936, 666, 309

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

Apply this formula for all numbers.

Step1:

LCM(570, 936) = 88920

GCD(570, 936) = ( 570 x 936 ) / 88920

= 570 / 936

= 570

Step2:

LCM(6, 666) = 666

GCD(6, 666) = ( 6 x 666 ) / 666

= 6 / 666

= 6

Step3:

LCM(6, 309) = 618

GCD(6, 309) = ( 6 x 309 ) / 618

= 6 / 309

= 6

So, Greatest Common Divisor of 570, 936, 666, 309 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 994, 915, 868
• GCD of 104, 327, 676, 228
• GCD of 605, 439, 708, 199
• GCD of 889, 970, 226, 450
• GCD of 408, 777, 859, 113

Given numbers are 570, 936, 666, 309
The greatest common divisor of numbers 570, 936, 666, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 570, 936, 666, 309 is 3.

1. What is the GCD of 570, 936, 666, 309?

GCD of given numbers 570, 936, 666, 309 is 3

2. How to calculate the greatest common divisor of 570, 936, 666, 309?

We can find the highest common divisor of 570, 936, 666, 309 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 570, 936, 666, 309 i.e 3.

3. How can I use the GCD of 570, 936, 666, 309Calculator?

Out the numbers 570, 936, 666, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.