GCD of 170, 536, 584, 216 Calculator

Given Input numbers are 170, 536, 584, 216

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 536 :

The positive integer divisors of 536 that completely divides 536 are.

1, 2, 4, 8, 67, 134, 268, 536

Divisors of 584 :

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

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

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

GCD of numbers is the greatest common divisor

So, the GCD (170, 536, 584, 216) = 2.

Given numbers are 170, 536, 584, 216

The list of prime factors of all numbers are

Prime factors of 170 are 2 x 5 x 17

Prime factors of 536 are 2 x 2 x 2 x 67

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

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

The highest common occurrence is 2¹

Therefore, GCD of 170, 536, 584, 216 is 2.

Given numbers are 170, 536, 584, 216

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

Apply this formula for all numbers.

Step1:

LCM(170, 536) = 45560

GCD(170, 536) = ( 170 x 536 ) / 45560

= 170 / 536

= 170

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

So, Greatest Common Divisor of 170, 536, 584, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 999, 570, 580
• GCD of 891, 794, 325, 247
• GCD of 331, 512, 371, 376
• GCD of 560, 445, 466, 927
• GCD of 167, 131, 683, 539

Given numbers are 170, 536, 584, 216
The greatest common divisor of numbers 170, 536, 584, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 170, 536, 584, 216 is 2.

1. What is the GCD of 170, 536, 584, 216?

GCD of given numbers 170, 536, 584, 216 is 2

2. How to calculate the greatest common divisor of 170, 536, 584, 216?

We can find the highest common divisor of 170, 536, 584, 216 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 170, 536, 584, 216 i.e 2.

3. How can I use the GCD of 170, 536, 584, 216Calculator?

Out the numbers 170, 536, 584, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.