GCD of 500, 685, 585, 867 Calculator

Given Input numbers are 500, 685, 585, 867

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 685 :

The positive integer divisors of 685 that completely divides 685 are.

1, 5, 137, 685

Divisors of 585 :

The positive integer divisors of 585 that completely divides 585 are.

1, 3, 5, 9, 13, 15, 39, 45, 65, 117, 195, 585

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (500, 685, 585, 867) = 1.

Given numbers are 500, 685, 585, 867

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 685 are 5 x 137

Prime factors of 585 are 3 x 3 x 5 x 13

Prime factors of 867 are 3 x 17 x 17

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

Given numbers are 500, 685, 585, 867

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

Apply this formula for all numbers.

Step1:

LCM(500, 685) = 68500

GCD(500, 685) = ( 500 x 685 ) / 68500

= 500 / 685

= 500

Step2:

LCM(5, 585) = 585

GCD(5, 585) = ( 5 x 585 ) / 585

= 5 / 585

= 5

Step3:

LCM(5, 867) = 4335

GCD(5, 867) = ( 5 x 867 ) / 4335

= 5 / 867

= 5

So, Greatest Common Divisor of 500, 685, 585, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 467, 690, 121
• GCD of 506, 485, 862, 866
• GCD of 254, 722, 532, 164
• GCD of 864, 543, 846, 608
• GCD of 140, 205, 821, 243

Given numbers are 500, 685, 585, 867
The greatest common divisor of numbers 500, 685, 585, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 685, 585, 867 is 1.

1. What is the GCD of 500, 685, 585, 867?

GCD of given numbers 500, 685, 585, 867 is 1

2. How to calculate the greatest common divisor of 500, 685, 585, 867?

We can find the highest common divisor of 500, 685, 585, 867 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, 685, 585, 867 i.e 1.

3. How can I use the GCD of 500, 685, 585, 867Calculator?

Out the numbers 500, 685, 585, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.