GCD of 506, 108, 845, 782 Calculator

Given Input numbers are 506, 108, 845, 782

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 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

GCD of numbers is the greatest common divisor

So, the GCD (506, 108, 845, 782) = 1.

Given numbers are 506, 108, 845, 782

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 845 are 5 x 13 x 13

Prime factors of 782 are 2 x 17 x 23

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

Given numbers are 506, 108, 845, 782

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

Apply this formula for all numbers.

Step1:

LCM(506, 108) = 27324

GCD(506, 108) = ( 506 x 108 ) / 27324

= 506 / 108

= 506

Step2:

LCM(2, 845) = 1690

GCD(2, 845) = ( 2 x 845 ) / 1690

= 2 / 845

= 2

Step3:

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

= 1 / 782

= 1

So, Greatest Common Divisor of 506, 108, 845, 782 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 383, 451, 670
• GCD of 665, 564, 126, 163
• GCD of 847, 157, 979, 452
• GCD of 628, 533, 309, 332
• GCD of 726, 665, 315, 759

Given numbers are 506, 108, 845, 782
The greatest common divisor of numbers 506, 108, 845, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 108, 845, 782 is 1.

1. What is the GCD of 506, 108, 845, 782?

GCD of given numbers 506, 108, 845, 782 is 1

2. How to calculate the greatest common divisor of 506, 108, 845, 782?

We can find the highest common divisor of 506, 108, 845, 782 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, 108, 845, 782 i.e 1.

3. How can I use the GCD of 506, 108, 845, 782Calculator?

Out the numbers 506, 108, 845, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.