GCD of 216, 538, 909, 724 Calculator

Given Input numbers are 216, 538, 909, 724

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

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

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 (216, 538, 909, 724) = 1.

Given numbers are 216, 538, 909, 724

The list of prime factors of all numbers are

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 538 are 2 x 269

Prime factors of 909 are 3 x 3 x 101

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 216, 538, 909, 724

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

Apply this formula for all numbers.

Step1:

LCM(216, 538) = 58104

GCD(216, 538) = ( 216 x 538 ) / 58104

= 216 / 538

= 216

Step2:

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

= 2 / 909

= 2

Step3:

LCM(1, 724) = 724

GCD(1, 724) = ( 1 x 724 ) / 724

= 1 / 724

= 1

So, Greatest Common Divisor of 216, 538, 909, 724 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 328, 785, 834
• GCD of 790, 224, 791, 873
• GCD of 204, 752, 990, 286
• GCD of 154, 196, 470, 797
• GCD of 798, 984, 765, 469

Given numbers are 216, 538, 909, 724
The greatest common divisor of numbers 216, 538, 909, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 216, 538, 909, 724 is 1.

1. What is the GCD of 216, 538, 909, 724?

GCD of given numbers 216, 538, 909, 724 is 1

2. How to calculate the greatest common divisor of 216, 538, 909, 724?

We can find the highest common divisor of 216, 538, 909, 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 216, 538, 909, 724 i.e 1.

3. How can I use the GCD of 216, 538, 909, 724Calculator?

Out the numbers 216, 538, 909, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.