GCD of 506, 422, 420, 682 Calculator

Given Input numbers are 506, 422, 420, 682

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (506, 422, 420, 682) = 2.

Given numbers are 506, 422, 420, 682

The list of prime factors of all numbers are

Prime factors of 506 are 2 x 11 x 23

Prime factors of 422 are 2 x 211

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

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 506, 422, 420, 682 is 2.

Given numbers are 506, 422, 420, 682

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

Apply this formula for all numbers.

Step1:

LCM(506, 422) = 106766

GCD(506, 422) = ( 506 x 422 ) / 106766

= 506 / 422

= 506

Step2:

LCM(2, 420) = 420

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

= 2 / 420

= 2

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 506, 422, 420, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 366, 747, 500, 712
• GCD of 864, 376, 990, 912
• GCD of 679, 371, 380, 802
• GCD of 597, 695, 257, 742
• GCD of 217, 294, 238, 877

Given numbers are 506, 422, 420, 682
The greatest common divisor of numbers 506, 422, 420, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 422, 420, 682 is 2.

1. What is the GCD of 506, 422, 420, 682?

GCD of given numbers 506, 422, 420, 682 is 2

2. How to calculate the greatest common divisor of 506, 422, 420, 682?

We can find the highest common divisor of 506, 422, 420, 682 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, 422, 420, 682 i.e 2.

3. How can I use the GCD of 506, 422, 420, 682Calculator?

Out the numbers 506, 422, 420, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.