GCD of 493, 360, 90, 729 Calculator

Given Input numbers are 493, 360, 90, 729

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 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

GCD of numbers is the greatest common divisor

So, the GCD (493, 360, 90, 729) = 1.

Given numbers are 493, 360, 90, 729

The list of prime factors of all numbers are

Prime factors of 493 are 17 x 29

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 493, 360, 90, 729

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

Apply this formula for all numbers.

Step1:

LCM(493, 360) = 177480

GCD(493, 360) = ( 493 x 360 ) / 177480

= 493 / 360

= 493

Step2:

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

= 1 / 90

= 1

Step3:

LCM(1, 729) = 729

GCD(1, 729) = ( 1 x 729 ) / 729

= 1 / 729

= 1

So, Greatest Common Divisor of 493, 360, 90, 729 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 281, 971, 72, 530
• GCD of 591, 168, 61, 299
• GCD of 875, 837, 20, 452
• GCD of 367, 787, 59, 787
• GCD of 635, 767, 18, 389

Given numbers are 493, 360, 90, 729
The greatest common divisor of numbers 493, 360, 90, 729 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 493, 360, 90, 729 is 1.

1. What is the GCD of 493, 360, 90, 729?

GCD of given numbers 493, 360, 90, 729 is 1

2. How to calculate the greatest common divisor of 493, 360, 90, 729?

We can find the highest common divisor of 493, 360, 90, 729 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, 360, 90, 729 i.e 1.

3. How can I use the GCD of 493, 360, 90, 729Calculator?

Out the numbers 493, 360, 90, 729 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.