GCD of 213, 165, 474, 214 Calculator

Given Input numbers are 213, 165, 474, 214

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

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

Divisors of 165 :

The positive integer divisors of 165 that completely divides 165 are.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (213, 165, 474, 214) = 1.

Given numbers are 213, 165, 474, 214

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 165 are 3 x 5 x 11

Prime factors of 474 are 2 x 3 x 79

Prime factors of 214 are 2 x 107

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

Given numbers are 213, 165, 474, 214

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

Apply this formula for all numbers.

Step1:

LCM(213, 165) = 11715

GCD(213, 165) = ( 213 x 165 ) / 11715

= 213 / 165

= 213

Step2:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

Step3:

LCM(3, 214) = 642

GCD(3, 214) = ( 3 x 214 ) / 642

= 3 / 214

= 3

So, Greatest Common Divisor of 213, 165, 474, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 865, 758, 432, 204
• GCD of 879, 717, 916, 901
• GCD of 114, 559, 413, 335
• GCD of 841, 172, 109, 109
• GCD of 457, 130, 749, 191

Given numbers are 213, 165, 474, 214
The greatest common divisor of numbers 213, 165, 474, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 165, 474, 214 is 1.

1. What is the GCD of 213, 165, 474, 214?

GCD of given numbers 213, 165, 474, 214 is 1

2. How to calculate the greatest common divisor of 213, 165, 474, 214?

We can find the highest common divisor of 213, 165, 474, 214 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 213, 165, 474, 214 i.e 1.

3. How can I use the GCD of 213, 165, 474, 214Calculator?

Out the numbers 213, 165, 474, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.