GCD of 565, 990, 208, 320 Calculator

Given Input numbers are 565, 990, 208, 320

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

Divisors of 565 :

The positive integer divisors of 565 that completely divides 565 are.

1, 5, 113, 565

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

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 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

GCD of numbers is the greatest common divisor

So, the GCD (565, 990, 208, 320) = 1.

Given numbers are 565, 990, 208, 320

The list of prime factors of all numbers are

Prime factors of 565 are 5 x 113

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

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

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

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

Given numbers are 565, 990, 208, 320

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

Apply this formula for all numbers.

Step1:

LCM(565, 990) = 111870

GCD(565, 990) = ( 565 x 990 ) / 111870

= 565 / 990

= 565

Step2:

LCM(5, 208) = 1040

GCD(5, 208) = ( 5 x 208 ) / 1040

= 5 / 208

= 5

Step3:

LCM(1, 320) = 320

GCD(1, 320) = ( 1 x 320 ) / 320

= 1 / 320

= 1

So, Greatest Common Divisor of 565, 990, 208, 320 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 415, 297, 652, 909
• GCD of 123, 234, 961, 979
• GCD of 812, 999, 439, 952
• GCD of 696, 232, 106, 775
• GCD of 453, 426, 372, 273

Given numbers are 565, 990, 208, 320
The greatest common divisor of numbers 565, 990, 208, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 565, 990, 208, 320 is 1.

1. What is the GCD of 565, 990, 208, 320?

GCD of given numbers 565, 990, 208, 320 is 1

2. How to calculate the greatest common divisor of 565, 990, 208, 320?

We can find the highest common divisor of 565, 990, 208, 320 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 565, 990, 208, 320 i.e 1.

3. How can I use the GCD of 565, 990, 208, 320Calculator?

Out the numbers 565, 990, 208, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.