GCD of 408, 696, 208, 222 Calculator

Given Input numbers are 408, 696, 208, 222

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

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 (408, 696, 208, 222) = 2.

Given numbers are 408, 696, 208, 222

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

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 408, 696, 208, 222 is 2.

Given numbers are 408, 696, 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(408, 696) = 11832

GCD(408, 696) = ( 408 x 696 ) / 11832

= 408 / 696

= 408

Step2:

LCM(24, 208) = 624

GCD(24, 208) = ( 24 x 208 ) / 624

= 24 / 208

= 24

Step3:

LCM(8, 222) = 888

GCD(8, 222) = ( 8 x 222 ) / 888

= 8 / 222

= 8

So, Greatest Common Divisor of 408, 696, 208, 222 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 889, 640, 616
• GCD of 232, 546, 924, 534
• GCD of 951, 314, 797, 376
• GCD of 821, 459, 385, 759
• GCD of 176, 147, 555, 865

Given numbers are 408, 696, 208, 222
The greatest common divisor of numbers 408, 696, 208, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 696, 208, 222 is 2.

1. What is the GCD of 408, 696, 208, 222?

GCD of given numbers 408, 696, 208, 222 is 2

2. How to calculate the greatest common divisor of 408, 696, 208, 222?

We can find the highest common divisor of 408, 696, 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 408, 696, 208, 222 i.e 2.

3. How can I use the GCD of 408, 696, 208, 222Calculator?

Out the numbers 408, 696, 208, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.