GCD of 388, 392, 106, 216 Calculator

Given Input numbers are 388, 392, 106, 216

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

Divisors of 388 :

The positive integer divisors of 388 that completely divides 388 are.

1, 2, 4, 97, 194, 388

Divisors of 392 :

The positive integer divisors of 392 that completely divides 392 are.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

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 (388, 392, 106, 216) = 2.

Given numbers are 388, 392, 106, 216

The list of prime factors of all numbers are

Prime factors of 388 are 2 x 2 x 97

Prime factors of 392 are 2 x 2 x 2 x 7 x 7

Prime factors of 106 are 2 x 53

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 388, 392, 106, 216 is 2.

Given numbers are 388, 392, 106, 216

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

Apply this formula for all numbers.

Step1:

LCM(388, 392) = 38024

GCD(388, 392) = ( 388 x 392 ) / 38024

= 388 / 392

= 388

Step2:

LCM(4, 106) = 212

GCD(4, 106) = ( 4 x 106 ) / 212

= 4 / 106

= 4

Step3:

LCM(2, 216) = 216

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

= 2 / 216

= 2

So, Greatest Common Divisor of 388, 392, 106, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 584, 180, 186, 495
• GCD of 866, 573, 199, 160
• GCD of 940, 810, 826, 443
• GCD of 443, 539, 127, 737
• GCD of 813, 190, 213, 305

Given numbers are 388, 392, 106, 216
The greatest common divisor of numbers 388, 392, 106, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 388, 392, 106, 216 is 2.

1. What is the GCD of 388, 392, 106, 216?

GCD of given numbers 388, 392, 106, 216 is 2

2. How to calculate the greatest common divisor of 388, 392, 106, 216?

We can find the highest common divisor of 388, 392, 106, 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 388, 392, 106, 216 i.e 2.

3. How can I use the GCD of 388, 392, 106, 216Calculator?

Out the numbers 388, 392, 106, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.