GCD of 585, 804, 738, 506 Calculator

Given Input numbers are 585, 804, 738, 506

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

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 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 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 506 :

The positive integer divisors of 506 that completely divides 506 are.

1, 2, 11, 22, 23, 46, 253, 506

GCD of numbers is the greatest common divisor

So, the GCD (585, 804, 738, 506) = 1.

Given numbers are 585, 804, 738, 506

The list of prime factors of all numbers are

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

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

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 506 are 2 x 11 x 23

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

Given numbers are 585, 804, 738, 506

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

Apply this formula for all numbers.

Step1:

LCM(585, 804) = 156780

GCD(585, 804) = ( 585 x 804 ) / 156780

= 585 / 804

= 585

Step2:

LCM(3, 738) = 738

GCD(3, 738) = ( 3 x 738 ) / 738

= 3 / 738

= 3

Step3:

LCM(3, 506) = 1518

GCD(3, 506) = ( 3 x 506 ) / 1518

= 3 / 506

= 3

So, Greatest Common Divisor of 585, 804, 738, 506 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 103, 571, 907, 120
• GCD of 580, 700, 756, 454
• GCD of 700, 101, 661, 259
• GCD of 228, 802, 381, 755
• GCD of 585, 376, 257, 131

Given numbers are 585, 804, 738, 506
The greatest common divisor of numbers 585, 804, 738, 506 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 804, 738, 506 is 1.

1. What is the GCD of 585, 804, 738, 506?

GCD of given numbers 585, 804, 738, 506 is 1

2. How to calculate the greatest common divisor of 585, 804, 738, 506?

We can find the highest common divisor of 585, 804, 738, 506 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 585, 804, 738, 506 i.e 1.

3. How can I use the GCD of 585, 804, 738, 506Calculator?

Out the numbers 585, 804, 738, 506 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.