GCD of 506, 950, 804, 312 Calculator

Given Input numbers are 506, 950, 804, 312

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

Divisors of 506 :

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

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

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

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 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (506, 950, 804, 312) = 2.

Given numbers are 506, 950, 804, 312

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 950 are 2 x 5 x 5 x 19

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

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 506, 950, 804, 312 is 2.

Given numbers are 506, 950, 804, 312

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

Apply this formula for all numbers.

Step1:

LCM(506, 950) = 240350

GCD(506, 950) = ( 506 x 950 ) / 240350

= 506 / 950

= 506

Step2:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 506, 950, 804, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 736, 448, 219, 131
• GCD of 668, 110, 523, 943
• GCD of 857, 762, 864, 978
• GCD of 396, 724, 447, 212
• GCD of 999, 576, 914, 237

Given numbers are 506, 950, 804, 312
The greatest common divisor of numbers 506, 950, 804, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 950, 804, 312 is 2.

1. What is the GCD of 506, 950, 804, 312?

GCD of given numbers 506, 950, 804, 312 is 2

2. How to calculate the greatest common divisor of 506, 950, 804, 312?

We can find the highest common divisor of 506, 950, 804, 312 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 506, 950, 804, 312 i.e 2.

3. How can I use the GCD of 506, 950, 804, 312Calculator?

Out the numbers 506, 950, 804, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.