GCD of 807, 585, 267, 864 Calculator

Given Input numbers are 807, 585, 267, 864

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

Divisors of 807 :

The positive integer divisors of 807 that completely divides 807 are.

1, 3, 269, 807

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 267 :

The positive integer divisors of 267 that completely divides 267 are.

1, 3, 89, 267

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

GCD of numbers is the greatest common divisor

So, the GCD (807, 585, 267, 864) = 3.

Given numbers are 807, 585, 267, 864

The list of prime factors of all numbers are

Prime factors of 807 are 3 x 269

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 267 are 3 x 89

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

The highest common occurrence is 3¹

Therefore, GCD of 807, 585, 267, 864 is 3.

Given numbers are 807, 585, 267, 864

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

Apply this formula for all numbers.

Step1:

LCM(807, 585) = 157365

GCD(807, 585) = ( 807 x 585 ) / 157365

= 807 / 585

= 807

Step2:

LCM(3, 267) = 267

GCD(3, 267) = ( 3 x 267 ) / 267

= 3 / 267

= 3

Step3:

LCM(3, 864) = 864

GCD(3, 864) = ( 3 x 864 ) / 864

= 3 / 864

= 3

So, Greatest Common Divisor of 807, 585, 267, 864 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 665, 970, 665, 995
• GCD of 949, 556, 843, 327
• GCD of 352, 811, 585, 663
• GCD of 305, 195, 897, 685
• GCD of 381, 586, 601, 414

Given numbers are 807, 585, 267, 864
The greatest common divisor of numbers 807, 585, 267, 864 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 585, 267, 864 is 3.

1. What is the GCD of 807, 585, 267, 864?

GCD of given numbers 807, 585, 267, 864 is 3

2. How to calculate the greatest common divisor of 807, 585, 267, 864?

We can find the highest common divisor of 807, 585, 267, 864 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 807, 585, 267, 864 i.e 3.

3. How can I use the GCD of 807, 585, 267, 864Calculator?

Out the numbers 807, 585, 267, 864 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.