GCD of 214, 108, 269, 422 Calculator

Given Input numbers are 214, 108, 269, 422

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

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (214, 108, 269, 422) = 1.

Given numbers are 214, 108, 269, 422

The list of prime factors of all numbers are

Prime factors of 214 are 2 x 107

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 269 are 269

Prime factors of 422 are 2 x 211

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 214, 108, 269, 422

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

Apply this formula for all numbers.

Step1:

LCM(214, 108) = 11556

GCD(214, 108) = ( 214 x 108 ) / 11556

= 214 / 108

= 214

Step2:

LCM(2, 269) = 538

GCD(2, 269) = ( 2 x 269 ) / 538

= 2 / 269

= 2

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 214, 108, 269, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 271, 105, 815, 602
• GCD of 511, 824, 843, 359
• GCD of 710, 275, 210, 454
• GCD of 336, 467, 569, 167
• GCD of 728, 441, 391, 327

Given numbers are 214, 108, 269, 422
The greatest common divisor of numbers 214, 108, 269, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 214, 108, 269, 422 is 1.

1. What is the GCD of 214, 108, 269, 422?

GCD of given numbers 214, 108, 269, 422 is 1

2. How to calculate the greatest common divisor of 214, 108, 269, 422?

We can find the highest common divisor of 214, 108, 269, 422 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 214, 108, 269, 422 i.e 1.

3. How can I use the GCD of 214, 108, 269, 422Calculator?

Out the numbers 214, 108, 269, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.