GCD of 864, 309, 812, 525 Calculator

Given Input numbers are 864, 309, 812, 525

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

Divisors of 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (864, 309, 812, 525) = 1.

Given numbers are 864, 309, 812, 525

The list of prime factors of all numbers are

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 309 are 3 x 103

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 525 are 3 x 5 x 5 x 7

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

Given numbers are 864, 309, 812, 525

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

Apply this formula for all numbers.

Step1:

LCM(864, 309) = 88992

GCD(864, 309) = ( 864 x 309 ) / 88992

= 864 / 309

= 864

Step2:

LCM(3, 812) = 2436

GCD(3, 812) = ( 3 x 812 ) / 2436

= 3 / 812

= 3

Step3:

LCM(1, 525) = 525

GCD(1, 525) = ( 1 x 525 ) / 525

= 1 / 525

= 1

So, Greatest Common Divisor of 864, 309, 812, 525 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 901, 607, 338
• GCD of 286, 525, 711, 219
• GCD of 363, 535, 233, 334
• GCD of 265, 905, 498, 865
• GCD of 364, 883, 195, 195

Given numbers are 864, 309, 812, 525
The greatest common divisor of numbers 864, 309, 812, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 309, 812, 525 is 1.

1. What is the GCD of 864, 309, 812, 525?

GCD of given numbers 864, 309, 812, 525 is 1

2. How to calculate the greatest common divisor of 864, 309, 812, 525?

We can find the highest common divisor of 864, 309, 812, 525 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 864, 309, 812, 525 i.e 1.

3. How can I use the GCD of 864, 309, 812, 525Calculator?

Out the numbers 864, 309, 812, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.