GCD of 576, 585, 938, 920 Calculator

Given Input numbers are 576, 585, 938, 920

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

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

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 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (576, 585, 938, 920) = 1.

Given numbers are 576, 585, 938, 920

The list of prime factors of all numbers are

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

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

Prime factors of 938 are 2 x 7 x 67

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 576, 585, 938, 920

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

Apply this formula for all numbers.

Step1:

LCM(576, 585) = 37440

GCD(576, 585) = ( 576 x 585 ) / 37440

= 576 / 585

= 576

Step2:

LCM(9, 938) = 8442

GCD(9, 938) = ( 9 x 938 ) / 8442

= 9 / 938

= 9

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 576, 585, 938, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 662, 265, 910, 856
• GCD of 161, 181, 739, 489
• GCD of 119, 207, 984, 108
• GCD of 427, 588, 605, 789
• GCD of 120, 122, 512, 609

Given numbers are 576, 585, 938, 920
The greatest common divisor of numbers 576, 585, 938, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 576, 585, 938, 920 is 1.

1. What is the GCD of 576, 585, 938, 920?

GCD of given numbers 576, 585, 938, 920 is 1

2. How to calculate the greatest common divisor of 576, 585, 938, 920?

We can find the highest common divisor of 576, 585, 938, 920 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 576, 585, 938, 920 i.e 1.

3. How can I use the GCD of 576, 585, 938, 920Calculator?

Out the numbers 576, 585, 938, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.