GCD of 493, 189, 504, 216 Calculator

Given Input numbers are 493, 189, 504, 216

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

Divisors of 493 :

The positive integer divisors of 493 that completely divides 493 are.

1, 17, 29, 493

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

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

GCD of numbers is the greatest common divisor

So, the GCD (493, 189, 504, 216) = 1.

Given numbers are 493, 189, 504, 216

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

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

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

Given numbers are 493, 189, 504, 216

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

Apply this formula for all numbers.

Step1:

LCM(493, 189) = 93177

GCD(493, 189) = ( 493 x 189 ) / 93177

= 493 / 189

= 493

Step2:

LCM(1, 504) = 504

GCD(1, 504) = ( 1 x 504 ) / 504

= 1 / 504

= 1

Step3:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

So, Greatest Common Divisor of 493, 189, 504, 216 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 731, 782, 869, 300
• GCD of 579, 523, 883, 646
• GCD of 118, 215, 908, 312
• GCD of 512, 389, 704, 544
• GCD of 316, 696, 211, 369

Given numbers are 493, 189, 504, 216
The greatest common divisor of numbers 493, 189, 504, 216 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 189, 504, 216 is 1.

1. What is the GCD of 493, 189, 504, 216?

GCD of given numbers 493, 189, 504, 216 is 1

2. How to calculate the greatest common divisor of 493, 189, 504, 216?

We can find the highest common divisor of 493, 189, 504, 216 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 493, 189, 504, 216 i.e 1.

3. How can I use the GCD of 493, 189, 504, 216Calculator?

Out the numbers 493, 189, 504, 216 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.