GCD of 788, 106, 804, 216 Calculator

Given Input numbers are 788, 106, 804, 216

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

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

Divisors of 106 :

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

1, 2, 53, 106

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

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 (788, 106, 804, 216) = 2.

Given numbers are 788, 106, 804, 216

The list of prime factors of all numbers are

Prime factors of 788 are 2 x 2 x 197

Prime factors of 106 are 2 x 53

Prime factors of 804 are 2 x 2 x 3 x 67

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 788, 106, 804, 216 is 2.

Given numbers are 788, 106, 804, 216

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

Apply this formula for all numbers.

Step1:

LCM(788, 106) = 41764

GCD(788, 106) = ( 788 x 106 ) / 41764

= 788 / 106

= 788

Step2:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

Step3:

LCM(2, 216) = 216

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

= 2 / 216

= 2

So, Greatest Common Divisor of 788, 106, 804, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 117, 249, 576, 815
• GCD of 269, 246, 928, 785
• GCD of 708, 736, 760, 666
• GCD of 896, 990, 937, 111
• GCD of 870, 414, 581, 111

Given numbers are 788, 106, 804, 216
The greatest common divisor of numbers 788, 106, 804, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 788, 106, 804, 216 is 2.

1. What is the GCD of 788, 106, 804, 216?

GCD of given numbers 788, 106, 804, 216 is 2

2. How to calculate the greatest common divisor of 788, 106, 804, 216?

We can find the highest common divisor of 788, 106, 804, 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 788, 106, 804, 216 i.e 2.

3. How can I use the GCD of 788, 106, 804, 216Calculator?

Out the numbers 788, 106, 804, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.