GCD of 442, 845, 213, 720 Calculator

Given Input numbers are 442, 845, 213, 720

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

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

Divisors of 213 :

The positive integer divisors of 213 that completely divides 213 are.

1, 3, 71, 213

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 (442, 845, 213, 720) = 1.

Given numbers are 442, 845, 213, 720

The list of prime factors of all numbers are

Prime factors of 442 are 2 x 13 x 17

Prime factors of 845 are 5 x 13 x 13

Prime factors of 213 are 3 x 71

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 442, 845, 213, 720

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

Apply this formula for all numbers.

Step1:

LCM(442, 845) = 28730

GCD(442, 845) = ( 442 x 845 ) / 28730

= 442 / 845

= 442

Step2:

LCM(13, 213) = 2769

GCD(13, 213) = ( 13 x 213 ) / 2769

= 13 / 213

= 13

Step3:

LCM(1, 720) = 720

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

= 1 / 720

= 1

So, Greatest Common Divisor of 442, 845, 213, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 784, 341, 179, 979
• GCD of 816, 168, 188, 570
• GCD of 555, 186, 204, 641
• GCD of 478, 952, 676, 613
• GCD of 473, 739, 910, 519

Given numbers are 442, 845, 213, 720
The greatest common divisor of numbers 442, 845, 213, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 442, 845, 213, 720 is 1.

1. What is the GCD of 442, 845, 213, 720?

GCD of given numbers 442, 845, 213, 720 is 1

2. How to calculate the greatest common divisor of 442, 845, 213, 720?

We can find the highest common divisor of 442, 845, 213, 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 442, 845, 213, 720 i.e 1.

3. How can I use the GCD of 442, 845, 213, 720Calculator?

Out the numbers 442, 845, 213, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.