GCD of 500, 486, 522, 686 Calculator

Given Input numbers are 500, 486, 522, 686

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 486 :

The positive integer divisors of 486 that completely divides 486 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

GCD of numbers is the greatest common divisor

So, the GCD (500, 486, 522, 686) = 2.

Given numbers are 500, 486, 522, 686

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 686 are 2 x 7 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 500, 486, 522, 686 is 2.

Given numbers are 500, 486, 522, 686

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

Apply this formula for all numbers.

Step1:

LCM(500, 486) = 121500

GCD(500, 486) = ( 500 x 486 ) / 121500

= 500 / 486

= 500

Step2:

LCM(2, 522) = 522

GCD(2, 522) = ( 2 x 522 ) / 522

= 2 / 522

= 2

Step3:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

So, Greatest Common Divisor of 500, 486, 522, 686 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 859, 949, 898
• GCD of 210, 769, 524, 397
• GCD of 521, 888, 813, 706
• GCD of 663, 363, 518, 316
• GCD of 872, 919, 498, 171

Given numbers are 500, 486, 522, 686
The greatest common divisor of numbers 500, 486, 522, 686 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 486, 522, 686 is 2.

1. What is the GCD of 500, 486, 522, 686?

GCD of given numbers 500, 486, 522, 686 is 2

2. How to calculate the greatest common divisor of 500, 486, 522, 686?

We can find the highest common divisor of 500, 486, 522, 686 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 500, 486, 522, 686 i.e 2.

3. How can I use the GCD of 500, 486, 522, 686Calculator?

Out the numbers 500, 486, 522, 686 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.