GCD of 585, 390, 279, 273 Calculator

Given Input numbers are 585, 390, 279, 273

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 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 273 :

The positive integer divisors of 273 that completely divides 273 are.

1, 3, 7, 13, 21, 39, 91, 273

GCD of numbers is the greatest common divisor

So, the GCD (585, 390, 279, 273) = 3.

Given numbers are 585, 390, 279, 273

The list of prime factors of all numbers are

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

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 279 are 3 x 3 x 31

Prime factors of 273 are 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 585, 390, 279, 273 is 3.

Given numbers are 585, 390, 279, 273

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

Apply this formula for all numbers.

Step1:

LCM(585, 390) = 1170

GCD(585, 390) = ( 585 x 390 ) / 1170

= 585 / 390

= 585

Step2:

LCM(195, 279) = 18135

GCD(195, 279) = ( 195 x 279 ) / 18135

= 195 / 279

= 195

Step3:

LCM(3, 273) = 273

GCD(3, 273) = ( 3 x 273 ) / 273

= 3 / 273

= 3

So, Greatest Common Divisor of 585, 390, 279, 273 is 3

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Given numbers are 585, 390, 279, 273
The greatest common divisor of numbers 585, 390, 279, 273 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 390, 279, 273 is 3.

1. What is the GCD of 585, 390, 279, 273?

GCD of given numbers 585, 390, 279, 273 is 3

2. How to calculate the greatest common divisor of 585, 390, 279, 273?

We can find the highest common divisor of 585, 390, 279, 273 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, 390, 279, 273 i.e 3.

3. How can I use the GCD of 585, 390, 279, 273Calculator?

Out the numbers 585, 390, 279, 273 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.