GCD of 216, 642, 776, 912 Calculator

Given Input numbers are 216, 642, 776, 912

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 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 776 :

The positive integer divisors of 776 that completely divides 776 are.

1, 2, 4, 8, 97, 194, 388, 776

Divisors of 912 :

The positive integer divisors of 912 that completely divides 912 are.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

GCD of numbers is the greatest common divisor

So, the GCD (216, 642, 776, 912) = 2.

Given numbers are 216, 642, 776, 912

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 642 are 2 x 3 x 107

Prime factors of 776 are 2 x 2 x 2 x 97

Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19

The highest common occurrence is 2¹

Therefore, GCD of 216, 642, 776, 912 is 2.

Given numbers are 216, 642, 776, 912

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

Apply this formula for all numbers.

Step1:

LCM(216, 642) = 23112

GCD(216, 642) = ( 216 x 642 ) / 23112

= 216 / 642

= 216

Step2:

LCM(6, 776) = 2328

GCD(6, 776) = ( 6 x 776 ) / 2328

= 6 / 776

= 6

Step3:

LCM(2, 912) = 912

GCD(2, 912) = ( 2 x 912 ) / 912

= 2 / 912

= 2

So, Greatest Common Divisor of 216, 642, 776, 912 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 860, 575, 858, 411
• GCD of 260, 638, 383, 305
• GCD of 494, 844, 278, 207
• GCD of 560, 892, 428, 183
• GCD of 238, 229, 180, 195

Given numbers are 216, 642, 776, 912
The greatest common divisor of numbers 216, 642, 776, 912 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 642, 776, 912 is 2.

1. What is the GCD of 216, 642, 776, 912?

GCD of given numbers 216, 642, 776, 912 is 2

2. How to calculate the greatest common divisor of 216, 642, 776, 912?

We can find the highest common divisor of 216, 642, 776, 912 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, 642, 776, 912 i.e 2.

3. How can I use the GCD of 216, 642, 776, 912Calculator?

Out the numbers 216, 642, 776, 912 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.