GCD of 585, 282, 924, 369 Calculator

Given Input numbers are 585, 282, 924, 369

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 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

GCD of numbers is the greatest common divisor

So, the GCD (585, 282, 924, 369) = 3.

Given numbers are 585, 282, 924, 369

The list of prime factors of all numbers are

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

Prime factors of 282 are 2 x 3 x 47

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 369 are 3 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 585, 282, 924, 369 is 3.

Given numbers are 585, 282, 924, 369

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

Apply this formula for all numbers.

Step1:

LCM(585, 282) = 54990

GCD(585, 282) = ( 585 x 282 ) / 54990

= 585 / 282

= 585

Step2:

LCM(3, 924) = 924

GCD(3, 924) = ( 3 x 924 ) / 924

= 3 / 924

= 3

Step3:

LCM(3, 369) = 369

GCD(3, 369) = ( 3 x 369 ) / 369

= 3 / 369

= 3

So, Greatest Common Divisor of 585, 282, 924, 369 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 853, 400, 559, 785
• GCD of 615, 745, 346, 372
• GCD of 390, 510, 520, 178
• GCD of 253, 897, 339, 241
• GCD of 705, 156, 992, 949

Given numbers are 585, 282, 924, 369
The greatest common divisor of numbers 585, 282, 924, 369 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 282, 924, 369 is 3.

1. What is the GCD of 585, 282, 924, 369?

GCD of given numbers 585, 282, 924, 369 is 3

2. How to calculate the greatest common divisor of 585, 282, 924, 369?

We can find the highest common divisor of 585, 282, 924, 369 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, 282, 924, 369 i.e 3.

3. How can I use the GCD of 585, 282, 924, 369Calculator?

Out the numbers 585, 282, 924, 369 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.