GCD of 208, 290, 585, 720 Calculator

Given Input numbers are 208, 290, 585, 720

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

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

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 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (208, 290, 585, 720) = 1.

Given numbers are 208, 290, 585, 720

The list of prime factors of all numbers are

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 290 are 2 x 5 x 29

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

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 208, 290, 585, 720

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

Apply this formula for all numbers.

Step1:

LCM(208, 290) = 30160

GCD(208, 290) = ( 208 x 290 ) / 30160

= 208 / 290

= 208

Step2:

LCM(2, 585) = 1170

GCD(2, 585) = ( 2 x 585 ) / 1170

= 2 / 585

= 2

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 208, 290, 585, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 432, 111, 150, 535
• GCD of 953, 341, 280, 111
• GCD of 171, 641, 139, 375
• GCD of 823, 905, 245, 401
• GCD of 674, 500, 181, 902

Given numbers are 208, 290, 585, 720
The greatest common divisor of numbers 208, 290, 585, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 290, 585, 720 is 1.

1. What is the GCD of 208, 290, 585, 720?

GCD of given numbers 208, 290, 585, 720 is 1

2. How to calculate the greatest common divisor of 208, 290, 585, 720?

We can find the highest common divisor of 208, 290, 585, 720 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 208, 290, 585, 720 i.e 1.

3. How can I use the GCD of 208, 290, 585, 720Calculator?

Out the numbers 208, 290, 585, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.