GCD of 216, 918, 584, 238 Calculator

Given Input numbers are 216, 918, 584, 238

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

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 (216, 918, 584, 238) = 2.

Given numbers are 216, 918, 584, 238

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 216, 918, 584, 238 is 2.

Given numbers are 216, 918, 584, 238

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

Apply this formula for all numbers.

Step1:

LCM(216, 918) = 3672

GCD(216, 918) = ( 216 x 918 ) / 3672

= 216 / 918

= 216

Step2:

LCM(54, 584) = 15768

GCD(54, 584) = ( 54 x 584 ) / 15768

= 54 / 584

= 54

Step3:

LCM(2, 238) = 238

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

= 2 / 238

= 2

So, Greatest Common Divisor of 216, 918, 584, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 961, 263, 764
• GCD of 207, 549, 784, 434
• GCD of 513, 866, 341, 251
• GCD of 417, 717, 296, 607
• GCD of 695, 841, 964, 245

Given numbers are 216, 918, 584, 238
The greatest common divisor of numbers 216, 918, 584, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 918, 584, 238 is 2.

1. What is the GCD of 216, 918, 584, 238?

GCD of given numbers 216, 918, 584, 238 is 2

2. How to calculate the greatest common divisor of 216, 918, 584, 238?

We can find the highest common divisor of 216, 918, 584, 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 216, 918, 584, 238 i.e 2.

3. How can I use the GCD of 216, 918, 584, 238Calculator?

Out the numbers 216, 918, 584, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.