GCD of 506, 772, 420, 861 Calculator

Given Input numbers are 506, 772, 420, 861

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 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 861 :

The positive integer divisors of 861 that completely divides 861 are.

1, 3, 7, 21, 41, 123, 287, 861

GCD of numbers is the greatest common divisor

So, the GCD (506, 772, 420, 861) = 1.

Given numbers are 506, 772, 420, 861

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 772 are 2 x 2 x 193

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 861 are 3 x 7 x 41

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

Given numbers are 506, 772, 420, 861

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

Apply this formula for all numbers.

Step1:

LCM(506, 772) = 195316

GCD(506, 772) = ( 506 x 772 ) / 195316

= 506 / 772

= 506

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 861) = 1722

GCD(2, 861) = ( 2 x 861 ) / 1722

= 2 / 861

= 2

So, Greatest Common Divisor of 506, 772, 420, 861 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 272, 913, 594
• GCD of 575, 823, 702, 458
• GCD of 760, 412, 685, 720
• GCD of 104, 829, 663, 257
• GCD of 133, 817, 438, 296

Given numbers are 506, 772, 420, 861
The greatest common divisor of numbers 506, 772, 420, 861 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 772, 420, 861 is 1.

1. What is the GCD of 506, 772, 420, 861?

GCD of given numbers 506, 772, 420, 861 is 1

2. How to calculate the greatest common divisor of 506, 772, 420, 861?

We can find the highest common divisor of 506, 772, 420, 861 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, 772, 420, 861 i.e 1.

3. How can I use the GCD of 506, 772, 420, 861Calculator?

Out the numbers 506, 772, 420, 861 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.