GCD of 306, 644, 572, 238 Calculator

Given Input numbers are 306, 644, 572, 238

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 572 :

The positive integer divisors of 572 that completely divides 572 are.

1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (306, 644, 572, 238) = 2.

Given numbers are 306, 644, 572, 238

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 572 are 2 x 2 x 11 x 13

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 306, 644, 572, 238 is 2.

Given numbers are 306, 644, 572, 238

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

Apply this formula for all numbers.

Step1:

LCM(306, 644) = 98532

GCD(306, 644) = ( 306 x 644 ) / 98532

= 306 / 644

= 306

Step2:

LCM(2, 572) = 572

GCD(2, 572) = ( 2 x 572 ) / 572

= 2 / 572

= 2

Step3:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

So, Greatest Common Divisor of 306, 644, 572, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 829, 471, 640, 640
• GCD of 651, 566, 879, 986
• GCD of 368, 614, 455, 353
• GCD of 482, 722, 362, 151
• GCD of 704, 866, 713, 853

Given numbers are 306, 644, 572, 238
The greatest common divisor of numbers 306, 644, 572, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 644, 572, 238 is 2.

1. What is the GCD of 306, 644, 572, 238?

GCD of given numbers 306, 644, 572, 238 is 2

2. How to calculate the greatest common divisor of 306, 644, 572, 238?

We can find the highest common divisor of 306, 644, 572, 238 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 306, 644, 572, 238 i.e 2.

3. How can I use the GCD of 306, 644, 572, 238Calculator?

Out the numbers 306, 644, 572, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.