GCD of 216, 382, 100 Calculator

Given Input numbers are 216, 382, 100

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 382 :

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

1, 2, 191, 382

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (216, 382, 100) = 2.

Given numbers are 216, 382, 100

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 382 are 2 x 191

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 216, 382, 100 is 2.

Given numbers are 216, 382, 100

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

Apply this formula for all numbers.

Step1:

LCM(216, 382) = 41256

GCD(216, 382) = ( 216 x 382 ) / 41256

= 216 / 382

= 216

Step2:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 216, 382, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 631, 520, 427
• GCD of 847, 139, 382
• GCD of 902, 519, 600
• GCD of 240, 691, 253
• GCD of 765, 586, 106

Given numbers are 216, 382, 100
The greatest common divisor of numbers 216, 382, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 382, 100 is 2.

1. What is the GCD of 216, 382, 100?

GCD of given numbers 216, 382, 100 is 2

2. How to calculate the greatest common divisor of 216, 382, 100?

We can find the highest common divisor of 216, 382, 100 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, 382, 100 i.e 2.

3. How can I use the GCD of 216, 382, 100Calculator?

Out the numbers 216, 382, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.