GCD of 384, 338, 480, 213 Calculator

Given Input numbers are 384, 338, 480, 213

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

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 213 :

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

1, 3, 71, 213

GCD of numbers is the greatest common divisor

So, the GCD (384, 338, 480, 213) = 1.

Given numbers are 384, 338, 480, 213

The list of prime factors of all numbers are

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 338 are 2 x 13 x 13

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 213 are 3 x 71

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

Given numbers are 384, 338, 480, 213

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

Apply this formula for all numbers.

Step1:

LCM(384, 338) = 64896

GCD(384, 338) = ( 384 x 338 ) / 64896

= 384 / 338

= 384

Step2:

LCM(2, 480) = 480

GCD(2, 480) = ( 2 x 480 ) / 480

= 2 / 480

= 2

Step3:

LCM(2, 213) = 426

GCD(2, 213) = ( 2 x 213 ) / 426

= 2 / 213

= 2

So, Greatest Common Divisor of 384, 338, 480, 213 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 417, 339, 744
• GCD of 935, 663, 981, 149
• GCD of 686, 437, 330, 396
• GCD of 164, 270, 208, 934
• GCD of 872, 851, 825, 884

Given numbers are 384, 338, 480, 213
The greatest common divisor of numbers 384, 338, 480, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 384, 338, 480, 213 is 1.

1. What is the GCD of 384, 338, 480, 213?

GCD of given numbers 384, 338, 480, 213 is 1

2. How to calculate the greatest common divisor of 384, 338, 480, 213?

We can find the highest common divisor of 384, 338, 480, 213 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 384, 338, 480, 213 i.e 1.

3. How can I use the GCD of 384, 338, 480, 213Calculator?

Out the numbers 384, 338, 480, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.