GCD of 360, 324, 529, 822 Calculator

Given Input numbers are 360, 324, 529, 822

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

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 324 :

The positive integer divisors of 324 that completely divides 324 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 324

Divisors of 529 :

The positive integer divisors of 529 that completely divides 529 are.

1, 23, 529

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (360, 324, 529, 822) = 1.

Given numbers are 360, 324, 529, 822

The list of prime factors of all numbers are

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

Prime factors of 324 are 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 529 are 23 x 23

Prime factors of 822 are 2 x 3 x 137

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

Given numbers are 360, 324, 529, 822

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

Apply this formula for all numbers.

Step1:

LCM(360, 324) = 3240

GCD(360, 324) = ( 360 x 324 ) / 3240

= 360 / 324

= 360

Step2:

LCM(36, 529) = 19044

GCD(36, 529) = ( 36 x 529 ) / 19044

= 36 / 529

= 36

Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

So, Greatest Common Divisor of 360, 324, 529, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 231, 995, 446, 339
• GCD of 771, 835, 488, 710
• GCD of 410, 246, 904, 430
• GCD of 756, 882, 960, 393
• GCD of 121, 899, 778, 770

Given numbers are 360, 324, 529, 822
The greatest common divisor of numbers 360, 324, 529, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 324, 529, 822 is 1.

1. What is the GCD of 360, 324, 529, 822?

GCD of given numbers 360, 324, 529, 822 is 1

2. How to calculate the greatest common divisor of 360, 324, 529, 822?

We can find the highest common divisor of 360, 324, 529, 822 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 360, 324, 529, 822 i.e 1.

3. How can I use the GCD of 360, 324, 529, 822Calculator?

Out the numbers 360, 324, 529, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.