GCD of 462, 786, 814, 216 Calculator

Given Input numbers are 462, 786, 814, 216

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

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 786 :

The positive integer divisors of 786 that completely divides 786 are.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

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 (462, 786, 814, 216) = 2.

Given numbers are 462, 786, 814, 216

The list of prime factors of all numbers are

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 786 are 2 x 3 x 131

Prime factors of 814 are 2 x 11 x 37

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 462, 786, 814, 216 is 2.

Given numbers are 462, 786, 814, 216

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

Apply this formula for all numbers.

Step1:

LCM(462, 786) = 60522

GCD(462, 786) = ( 462 x 786 ) / 60522

= 462 / 786

= 462

Step2:

LCM(6, 814) = 2442

GCD(6, 814) = ( 6 x 814 ) / 2442

= 6 / 814

= 6

Step3:

LCM(2, 216) = 216

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

= 2 / 216

= 2

So, Greatest Common Divisor of 462, 786, 814, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 943, 830, 682
• GCD of 270, 583, 536, 120
• GCD of 253, 214, 654, 595
• GCD of 393, 667, 599, 284
• GCD of 944, 507, 852, 749

Given numbers are 462, 786, 814, 216
The greatest common divisor of numbers 462, 786, 814, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 462, 786, 814, 216 is 2.

1. What is the GCD of 462, 786, 814, 216?

GCD of given numbers 462, 786, 814, 216 is 2

2. How to calculate the greatest common divisor of 462, 786, 814, 216?

We can find the highest common divisor of 462, 786, 814, 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 462, 786, 814, 216 i.e 2.

3. How can I use the GCD of 462, 786, 814, 216Calculator?

Out the numbers 462, 786, 814, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.