GCD of 323, 212, 164, 214 Calculator

Given Input numbers are 323, 212, 164, 214

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

Divisors of 323 :

The positive integer divisors of 323 that completely divides 323 are.

1, 17, 19, 323

Divisors of 212 :

The positive integer divisors of 212 that completely divides 212 are.

1, 2, 4, 53, 106, 212

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

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 (323, 212, 164, 214) = 1.

Given numbers are 323, 212, 164, 214

The list of prime factors of all numbers are

Prime factors of 323 are 17 x 19

Prime factors of 212 are 2 x 2 x 53

Prime factors of 164 are 2 x 2 x 41

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 323, 212, 164, 214

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

Apply this formula for all numbers.

Step1:

LCM(323, 212) = 68476

GCD(323, 212) = ( 323 x 212 ) / 68476

= 323 / 212

= 323

Step2:

LCM(1, 164) = 164

GCD(1, 164) = ( 1 x 164 ) / 164

= 1 / 164

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 323, 212, 164, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 651, 333, 604, 106
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• GCD of 625, 220, 931, 282
• GCD of 980, 864, 399, 496
• GCD of 681, 805, 924, 264

Given numbers are 323, 212, 164, 214
The greatest common divisor of numbers 323, 212, 164, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 323, 212, 164, 214 is 1.

1. What is the GCD of 323, 212, 164, 214?

GCD of given numbers 323, 212, 164, 214 is 1

2. How to calculate the greatest common divisor of 323, 212, 164, 214?

We can find the highest common divisor of 323, 212, 164, 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 323, 212, 164, 214 i.e 1.

3. How can I use the GCD of 323, 212, 164, 214Calculator?

Out the numbers 323, 212, 164, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.