GCD of 720, 452, 976, 585 Calculator

Given Input numbers are 720, 452, 976, 585

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

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

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

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

GCD of numbers is the greatest common divisor

So, the GCD (720, 452, 976, 585) = 1.

Given numbers are 720, 452, 976, 585

The list of prime factors of all numbers are

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

Prime factors of 452 are 2 x 2 x 113

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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

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

Given numbers are 720, 452, 976, 585

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

Apply this formula for all numbers.

Step1:

LCM(720, 452) = 81360

GCD(720, 452) = ( 720 x 452 ) / 81360

= 720 / 452

= 720

Step2:

LCM(4, 976) = 976

GCD(4, 976) = ( 4 x 976 ) / 976

= 4 / 976

= 4

Step3:

LCM(4, 585) = 2340

GCD(4, 585) = ( 4 x 585 ) / 2340

= 4 / 585

= 4

So, Greatest Common Divisor of 720, 452, 976, 585 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 555, 374, 166, 728
• GCD of 656, 664, 365, 563
• GCD of 112, 915, 250, 299
• GCD of 437, 612, 957, 408
• GCD of 707, 562, 522, 616

Given numbers are 720, 452, 976, 585
The greatest common divisor of numbers 720, 452, 976, 585 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 452, 976, 585 is 1.

1. What is the GCD of 720, 452, 976, 585?

GCD of given numbers 720, 452, 976, 585 is 1

2. How to calculate the greatest common divisor of 720, 452, 976, 585?

We can find the highest common divisor of 720, 452, 976, 585 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 720, 452, 976, 585 i.e 1.

3. How can I use the GCD of 720, 452, 976, 585Calculator?

Out the numbers 720, 452, 976, 585 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.