GCD of 585, 669, 360, 416 Calculator

Given Input numbers are 585, 669, 360, 416

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 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 416 :

The positive integer divisors of 416 that completely divides 416 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

GCD of numbers is the greatest common divisor

So, the GCD (585, 669, 360, 416) = 1.

Given numbers are 585, 669, 360, 416

The list of prime factors of all numbers are

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

Prime factors of 669 are 3 x 223

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 416 are 2 x 2 x 2 x 2 x 2 x 13

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

Given numbers are 585, 669, 360, 416

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

Apply this formula for all numbers.

Step1:

LCM(585, 669) = 130455

GCD(585, 669) = ( 585 x 669 ) / 130455

= 585 / 669

= 585

Step2:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

Step3:

LCM(3, 416) = 1248

GCD(3, 416) = ( 3 x 416 ) / 1248

= 3 / 416

= 3

So, Greatest Common Divisor of 585, 669, 360, 416 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 782, 508, 138
• GCD of 278, 104, 801, 789
• GCD of 319, 144, 516, 223
• GCD of 279, 987, 373, 866
• GCD of 330, 312, 431, 363

Given numbers are 585, 669, 360, 416
The greatest common divisor of numbers 585, 669, 360, 416 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 585, 669, 360, 416 is 1.

1. What is the GCD of 585, 669, 360, 416?

GCD of given numbers 585, 669, 360, 416 is 1

2. How to calculate the greatest common divisor of 585, 669, 360, 416?

We can find the highest common divisor of 585, 669, 360, 416 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, 669, 360, 416 i.e 1.

3. How can I use the GCD of 585, 669, 360, 416Calculator?

Out the numbers 585, 669, 360, 416 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.