GCD of 216, 838, 208, 222 Calculator

Given Input numbers are 216, 838, 208, 222

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 838 :

The positive integer divisors of 838 that completely divides 838 are.

1, 2, 419, 838

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

GCD of numbers is the greatest common divisor

So, the GCD (216, 838, 208, 222) = 2.

Given numbers are 216, 838, 208, 222

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 838 are 2 x 419

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 222 are 2 x 3 x 37

The highest common occurrence is 2¹

Therefore, GCD of 216, 838, 208, 222 is 2.

Given numbers are 216, 838, 208, 222

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

Apply this formula for all numbers.

Step1:

LCM(216, 838) = 90504

GCD(216, 838) = ( 216 x 838 ) / 90504

= 216 / 838

= 216

Step2:

LCM(2, 208) = 208

GCD(2, 208) = ( 2 x 208 ) / 208

= 2 / 208

= 2

Step3:

LCM(2, 222) = 222

GCD(2, 222) = ( 2 x 222 ) / 222

= 2 / 222

= 2

So, Greatest Common Divisor of 216, 838, 208, 222 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 535, 302, 152, 573
• GCD of 140, 551, 617, 484
• GCD of 587, 859, 770, 223
• GCD of 986, 272, 340, 579
• GCD of 308, 678, 201, 804

Given numbers are 216, 838, 208, 222
The greatest common divisor of numbers 216, 838, 208, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 838, 208, 222 is 2.

1. What is the GCD of 216, 838, 208, 222?

GCD of given numbers 216, 838, 208, 222 is 2

2. How to calculate the greatest common divisor of 216, 838, 208, 222?

We can find the highest common divisor of 216, 838, 208, 222 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, 838, 208, 222 i.e 2.

3. How can I use the GCD of 216, 838, 208, 222Calculator?

Out the numbers 216, 838, 208, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.