GCD of 213, 288, 336, 724 Calculator

Given Input numbers are 213, 288, 336, 724

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

Divisors of 213 :

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

1, 3, 71, 213

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (213, 288, 336, 724) = 1.

Given numbers are 213, 288, 336, 724

The list of prime factors of all numbers are

Prime factors of 213 are 3 x 71

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 724 are 2 x 2 x 181

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

Given numbers are 213, 288, 336, 724

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

Apply this formula for all numbers.

Step1:

LCM(213, 288) = 20448

GCD(213, 288) = ( 213 x 288 ) / 20448

= 213 / 288

= 213

Step2:

LCM(3, 336) = 336

GCD(3, 336) = ( 3 x 336 ) / 336

= 3 / 336

= 3

Step3:

LCM(3, 724) = 2172

GCD(3, 724) = ( 3 x 724 ) / 2172

= 3 / 724

= 3

So, Greatest Common Divisor of 213, 288, 336, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 495, 486, 401
• GCD of 437, 907, 476, 667
• GCD of 589, 857, 323, 124
• GCD of 283, 317, 415, 432
• GCD of 829, 228, 886, 873

Given numbers are 213, 288, 336, 724
The greatest common divisor of numbers 213, 288, 336, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 213, 288, 336, 724 is 1.

1. What is the GCD of 213, 288, 336, 724?

GCD of given numbers 213, 288, 336, 724 is 1

2. How to calculate the greatest common divisor of 213, 288, 336, 724?

We can find the highest common divisor of 213, 288, 336, 724 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 213, 288, 336, 724 i.e 1.

3. How can I use the GCD of 213, 288, 336, 724Calculator?

Out the numbers 213, 288, 336, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.