GCD of 804, 579, 828, 504 Calculator

Given Input numbers are 804, 579, 828, 504

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

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 579 :

The positive integer divisors of 579 that completely divides 579 are.

1, 3, 193, 579

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

GCD of numbers is the greatest common divisor

So, the GCD (804, 579, 828, 504) = 3.

Given numbers are 804, 579, 828, 504

The list of prime factors of all numbers are

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 579 are 3 x 193

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

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

The highest common occurrence is 3¹

Therefore, GCD of 804, 579, 828, 504 is 3.

Given numbers are 804, 579, 828, 504

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

Apply this formula for all numbers.

Step1:

LCM(804, 579) = 155172

GCD(804, 579) = ( 804 x 579 ) / 155172

= 804 / 579

= 804

Step2:

LCM(3, 828) = 828

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

= 3 / 828

= 3

Step3:

LCM(3, 504) = 504

GCD(3, 504) = ( 3 x 504 ) / 504

= 3 / 504

= 3

So, Greatest Common Divisor of 804, 579, 828, 504 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 110, 165, 628, 631
• GCD of 618, 968, 708, 459
• GCD of 704, 992, 916, 842
• GCD of 255, 528, 416, 280
• GCD of 272, 420, 691, 913

Given numbers are 804, 579, 828, 504
The greatest common divisor of numbers 804, 579, 828, 504 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 804, 579, 828, 504 is 3.

1. What is the GCD of 804, 579, 828, 504?

GCD of given numbers 804, 579, 828, 504 is 3

2. How to calculate the greatest common divisor of 804, 579, 828, 504?

We can find the highest common divisor of 804, 579, 828, 504 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 804, 579, 828, 504 i.e 3.

3. How can I use the GCD of 804, 579, 828, 504Calculator?

Out the numbers 804, 579, 828, 504 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.