GCD of 380, 329, 214 Calculator

Given Input numbers are 380, 329, 214

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

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 (380, 329, 214) = 1.

Given numbers are 380, 329, 214

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

Prime factors of 329 are 7 x 47

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 380, 329, 214

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

Apply this formula for all numbers.

Step1:

LCM(380, 329) = 125020

GCD(380, 329) = ( 380 x 329 ) / 125020

= 380 / 329

= 380

Step2:

LCM(1, 214) = 214

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

= 1 / 214

= 1

So, Greatest Common Divisor of 380, 329, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 299, 192, 931
• GCD of 834, 850, 845
• GCD of 654, 219, 245
• GCD of 836, 881, 365
• GCD of 450, 932, 965

Given numbers are 380, 329, 214
The greatest common divisor of numbers 380, 329, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 329, 214 is 1.

1. What is the GCD of 380, 329, 214?

GCD of given numbers 380, 329, 214 is 1

2. How to calculate the greatest common divisor of 380, 329, 214?

We can find the highest common divisor of 380, 329, 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 380, 329, 214 i.e 1.

3. How can I use the GCD of 380, 329, 214Calculator?

Out the numbers 380, 329, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.