GCD of 209, 238, 321, 424 Calculator

Given Input numbers are 209, 238, 321, 424

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

Divisors of 209 :

The positive integer divisors of 209 that completely divides 209 are.

1, 11, 19, 209

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (209, 238, 321, 424) = 1.

Given numbers are 209, 238, 321, 424

The list of prime factors of all numbers are

Prime factors of 209 are 11 x 19

Prime factors of 238 are 2 x 7 x 17

Prime factors of 321 are 3 x 107

Prime factors of 424 are 2 x 2 x 2 x 53

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

Given numbers are 209, 238, 321, 424

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

Apply this formula for all numbers.

Step1:

LCM(209, 238) = 49742

GCD(209, 238) = ( 209 x 238 ) / 49742

= 209 / 238

= 209

Step2:

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

= 1 / 321

= 1

Step3:

LCM(1, 424) = 424

GCD(1, 424) = ( 1 x 424 ) / 424

= 1 / 424

= 1

So, Greatest Common Divisor of 209, 238, 321, 424 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 914, 593, 183
• GCD of 844, 277, 155, 682
• GCD of 983, 350, 319, 917
• GCD of 713, 673, 686, 475
• GCD of 439, 529, 685, 341

Given numbers are 209, 238, 321, 424
The greatest common divisor of numbers 209, 238, 321, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 209, 238, 321, 424 is 1.

1. What is the GCD of 209, 238, 321, 424?

GCD of given numbers 209, 238, 321, 424 is 1

2. How to calculate the greatest common divisor of 209, 238, 321, 424?

We can find the highest common divisor of 209, 238, 321, 424 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 209, 238, 321, 424 i.e 1.

3. How can I use the GCD of 209, 238, 321, 424Calculator?

Out the numbers 209, 238, 321, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.