GCD of 864, 609, 243, 828 Calculator

Given Input numbers are 864, 609, 243, 828

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 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (864, 609, 243, 828) = 3.

Given numbers are 864, 609, 243, 828

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 609 are 3 x 7 x 29

Prime factors of 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 3¹

Therefore, GCD of 864, 609, 243, 828 is 3.

Given numbers are 864, 609, 243, 828

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

Apply this formula for all numbers.

Step1:

LCM(864, 609) = 175392

GCD(864, 609) = ( 864 x 609 ) / 175392

= 864 / 609

= 864

Step2:

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

= 3 / 243

= 3

Step3:

LCM(3, 828) = 828

GCD(3, 828) = ( 3 x 828 ) / 828

= 3 / 828

= 3

So, Greatest Common Divisor of 864, 609, 243, 828 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 235, 387, 446, 486
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• GCD of 377, 807, 802, 671
• GCD of 696, 152, 180, 378
• GCD of 215, 236, 707, 570

Given numbers are 864, 609, 243, 828
The greatest common divisor of numbers 864, 609, 243, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 864, 609, 243, 828 is 3.

1. What is the GCD of 864, 609, 243, 828?

GCD of given numbers 864, 609, 243, 828 is 3

2. How to calculate the greatest common divisor of 864, 609, 243, 828?

We can find the highest common divisor of 864, 609, 243, 828 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, 609, 243, 828 i.e 3.

3. How can I use the GCD of 864, 609, 243, 828Calculator?

Out the numbers 864, 609, 243, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.