GCD of 382, 964, 412, 216 Calculator

Given Input numbers are 382, 964, 412, 216

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

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

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 (382, 964, 412, 216) = 2.

Given numbers are 382, 964, 412, 216

The list of prime factors of all numbers are

Prime factors of 382 are 2 x 191

Prime factors of 964 are 2 x 2 x 241

Prime factors of 412 are 2 x 2 x 103

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 382, 964, 412, 216 is 2.

Given numbers are 382, 964, 412, 216

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

Apply this formula for all numbers.

Step1:

LCM(382, 964) = 184124

GCD(382, 964) = ( 382 x 964 ) / 184124

= 382 / 964

= 382

Step2:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

Step3:

LCM(2, 216) = 216

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

= 2 / 216

= 2

So, Greatest Common Divisor of 382, 964, 412, 216 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 199, 924, 887, 433
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• GCD of 185, 540, 455, 765
• GCD of 605, 497, 187, 430
• GCD of 698, 472, 611, 819

Given numbers are 382, 964, 412, 216
The greatest common divisor of numbers 382, 964, 412, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 382, 964, 412, 216 is 2.

1. What is the GCD of 382, 964, 412, 216?

GCD of given numbers 382, 964, 412, 216 is 2

2. How to calculate the greatest common divisor of 382, 964, 412, 216?

We can find the highest common divisor of 382, 964, 412, 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 382, 964, 412, 216 i.e 2.

3. How can I use the GCD of 382, 964, 412, 216Calculator?

Out the numbers 382, 964, 412, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.