GCD of 585, 372, 417, 162 Calculator

Given Input numbers are 585, 372, 417, 162

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 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

Divisors of 417 :

The positive integer divisors of 417 that completely divides 417 are.

1, 3, 139, 417

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (585, 372, 417, 162) = 3.

Given numbers are 585, 372, 417, 162

The list of prime factors of all numbers are

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

Prime factors of 372 are 2 x 2 x 3 x 31

Prime factors of 417 are 3 x 139

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The highest common occurrence is 3¹

Therefore, GCD of 585, 372, 417, 162 is 3.

Given numbers are 585, 372, 417, 162

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

Apply this formula for all numbers.

Step1:

LCM(585, 372) = 72540

GCD(585, 372) = ( 585 x 372 ) / 72540

= 585 / 372

= 585

Step2:

LCM(3, 417) = 417

GCD(3, 417) = ( 3 x 417 ) / 417

= 3 / 417

= 3

Step3:

LCM(3, 162) = 162

GCD(3, 162) = ( 3 x 162 ) / 162

= 3 / 162

= 3

So, Greatest Common Divisor of 585, 372, 417, 162 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 285, 481, 868, 107
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• GCD of 965, 801, 966, 583

Given numbers are 585, 372, 417, 162
The greatest common divisor of numbers 585, 372, 417, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 372, 417, 162 is 3.

1. What is the GCD of 585, 372, 417, 162?

GCD of given numbers 585, 372, 417, 162 is 3

2. How to calculate the greatest common divisor of 585, 372, 417, 162?

We can find the highest common divisor of 585, 372, 417, 162 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, 372, 417, 162 i.e 3.

3. How can I use the GCD of 585, 372, 417, 162Calculator?

Out the numbers 585, 372, 417, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.