GCD of 585, 720, 564, 381 Calculator

Given Input numbers are 585, 720, 564, 381

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

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

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

GCD of numbers is the greatest common divisor

So, the GCD (585, 720, 564, 381) = 3.

Given numbers are 585, 720, 564, 381

The list of prime factors of all numbers are

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

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 381 are 3 x 127

The highest common occurrence is 3¹

Therefore, GCD of 585, 720, 564, 381 is 3.

Given numbers are 585, 720, 564, 381

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

Apply this formula for all numbers.

Step1:

LCM(585, 720) = 9360

GCD(585, 720) = ( 585 x 720 ) / 9360

= 585 / 720

= 585

Step2:

LCM(45, 564) = 8460

GCD(45, 564) = ( 45 x 564 ) / 8460

= 45 / 564

= 45

Step3:

LCM(3, 381) = 381

GCD(3, 381) = ( 3 x 381 ) / 381

= 3 / 381

= 3

So, Greatest Common Divisor of 585, 720, 564, 381 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 462, 187, 342
• GCD of 854, 559, 425, 249
• GCD of 300, 937, 512, 894
• GCD of 964, 610, 440, 650
• GCD of 502, 882, 276, 197

Given numbers are 585, 720, 564, 381
The greatest common divisor of numbers 585, 720, 564, 381 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 720, 564, 381 is 3.

1. What is the GCD of 585, 720, 564, 381?

GCD of given numbers 585, 720, 564, 381 is 3

2. How to calculate the greatest common divisor of 585, 720, 564, 381?

We can find the highest common divisor of 585, 720, 564, 381 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 585, 720, 564, 381 i.e 3.

3. How can I use the GCD of 585, 720, 564, 381Calculator?

Out the numbers 585, 720, 564, 381 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.