GCD of 360, 576, 815, 892 Calculator

Given Input numbers are 360, 576, 815, 892

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 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 815 :

The positive integer divisors of 815 that completely divides 815 are.

1, 5, 163, 815

Divisors of 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

GCD of numbers is the greatest common divisor

So, the GCD (360, 576, 815, 892) = 1.

Given numbers are 360, 576, 815, 892

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 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 815 are 5 x 163

Prime factors of 892 are 2 x 2 x 223

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

Given numbers are 360, 576, 815, 892

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

Apply this formula for all numbers.

Step1:

LCM(360, 576) = 2880

GCD(360, 576) = ( 360 x 576 ) / 2880

= 360 / 576

= 360

Step2:

LCM(72, 815) = 58680

GCD(72, 815) = ( 72 x 815 ) / 58680

= 72 / 815

= 72

Step3:

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

= 1 / 892

= 1

So, Greatest Common Divisor of 360, 576, 815, 892 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 934, 938, 583, 821
• GCD of 676, 762, 419, 924
• GCD of 162, 451, 143, 879
• GCD of 783, 882, 823, 655
• GCD of 489, 467, 824, 190

Given numbers are 360, 576, 815, 892
The greatest common divisor of numbers 360, 576, 815, 892 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 576, 815, 892 is 1.

1. What is the GCD of 360, 576, 815, 892?

GCD of given numbers 360, 576, 815, 892 is 1

2. How to calculate the greatest common divisor of 360, 576, 815, 892?

We can find the highest common divisor of 360, 576, 815, 892 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, 576, 815, 892 i.e 1.

3. How can I use the GCD of 360, 576, 815, 892Calculator?

Out the numbers 360, 576, 815, 892 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.