GCD of 364, 219, 214 Calculator

Given Input numbers are 364, 219, 214

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 219 :

The positive integer divisors of 219 that completely divides 219 are.

1, 3, 73, 219

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 (364, 219, 214) = 1.

Given numbers are 364, 219, 214

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 219 are 3 x 73

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 364, 219, 214

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

Apply this formula for all numbers.

Step1:

LCM(364, 219) = 79716

GCD(364, 219) = ( 364 x 219 ) / 79716

= 364 / 219

= 364

Step2:

LCM(1, 214) = 214

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

= 1 / 214

= 1

So, Greatest Common Divisor of 364, 219, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 131, 348
• GCD of 137, 745, 861
• GCD of 980, 174, 348
• GCD of 354, 616, 345
• GCD of 338, 646, 781

Given numbers are 364, 219, 214
The greatest common divisor of numbers 364, 219, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 219, 214 is 1.

1. What is the GCD of 364, 219, 214?

GCD of given numbers 364, 219, 214 is 1

2. How to calculate the greatest common divisor of 364, 219, 214?

We can find the highest common divisor of 364, 219, 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 364, 219, 214 i.e 1.

3. How can I use the GCD of 364, 219, 214Calculator?

Out the numbers 364, 219, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.