GCD of 205, 585, 24 Calculator

Given Input numbers are 205, 585, 24

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

Divisors of 205 :

The positive integer divisors of 205 that completely divides 205 are.

1, 5, 41, 205

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 24 :

The positive integer divisors of 24 that completely divides 24 are.

1, 2, 3, 4, 6, 8, 12, 24

GCD of numbers is the greatest common divisor

So, the GCD (205, 585, 24) = 1.

Given numbers are 205, 585, 24

The list of prime factors of all numbers are

Prime factors of 205 are 5 x 41

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

Prime factors of 24 are 2 x 2 x 2 x 3

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

Given numbers are 205, 585, 24

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

Apply this formula for all numbers.

Step1:

LCM(205, 585) = 23985

GCD(205, 585) = ( 205 x 585 ) / 23985

= 205 / 585

= 205

Step2:

LCM(5, 24) = 120

GCD(5, 24) = ( 5 x 24 ) / 120

= 5 / 24

= 5

So, Greatest Common Divisor of 205, 585, 24 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 939, 473, 33
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• GCD of 231, 973, 51
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Given numbers are 205, 585, 24
The greatest common divisor of numbers 205, 585, 24 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 205, 585, 24 is 1.

1. What is the GCD of 205, 585, 24?

GCD of given numbers 205, 585, 24 is 1

2. How to calculate the greatest common divisor of 205, 585, 24?

We can find the highest common divisor of 205, 585, 24 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 205, 585, 24 i.e 1.

3. How can I use the GCD of 205, 585, 24Calculator?

Out the numbers 205, 585, 24 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.