GCD of 360, 144, 270, 809 Calculator

Given Input numbers are 360, 144, 270, 809

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

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 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

Divisors of 809 :

The positive integer divisors of 809 that completely divides 809 are.

1, 809

GCD of numbers is the greatest common divisor

So, the GCD (360, 144, 270, 809) = 1.

Given numbers are 360, 144, 270, 809

The list of prime factors of all numbers are

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

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

Prime factors of 809 are 809

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

Given numbers are 360, 144, 270, 809

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

Apply this formula for all numbers.

Step1:

LCM(360, 144) = 720

GCD(360, 144) = ( 360 x 144 ) / 720

= 360 / 144

= 360

Step2:

LCM(72, 270) = 1080

GCD(72, 270) = ( 72 x 270 ) / 1080

= 72 / 270

= 72

Step3:

LCM(18, 809) = 14562

GCD(18, 809) = ( 18 x 809 ) / 14562

= 18 / 809

= 18

So, Greatest Common Divisor of 360, 144, 270, 809 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 326, 169, 734, 322
• GCD of 362, 448, 187, 424
• GCD of 733, 380, 149, 397
• GCD of 283, 120, 204, 396
• GCD of 864, 545, 125, 334

Given numbers are 360, 144, 270, 809
The greatest common divisor of numbers 360, 144, 270, 809 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 144, 270, 809 is 1.

1. What is the GCD of 360, 144, 270, 809?

GCD of given numbers 360, 144, 270, 809 is 1

2. How to calculate the greatest common divisor of 360, 144, 270, 809?

We can find the highest common divisor of 360, 144, 270, 809 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 360, 144, 270, 809 i.e 1.

3. How can I use the GCD of 360, 144, 270, 809Calculator?

Out the numbers 360, 144, 270, 809 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.