GCD of 609, 806, 800, 360 Calculator

Given Input numbers are 609, 806, 800, 360

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

Divisors of 609 :

The positive integer divisors of 609 that completely divides 609 are.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 806 :

The positive integer divisors of 806 that completely divides 806 are.

1, 2, 13, 26, 31, 62, 403, 806

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

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

GCD of numbers is the greatest common divisor

So, the GCD (609, 806, 800, 360) = 1.

Given numbers are 609, 806, 800, 360

The list of prime factors of all numbers are

Prime factors of 609 are 3 x 7 x 29

Prime factors of 806 are 2 x 13 x 31

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

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

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

Given numbers are 609, 806, 800, 360

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

Apply this formula for all numbers.

Step1:

LCM(609, 806) = 490854

GCD(609, 806) = ( 609 x 806 ) / 490854

= 609 / 806

= 609

Step2:

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

= 1 / 800

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 609, 806, 800, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 486, 171, 341, 321
• GCD of 222, 881, 907, 340
• GCD of 593, 968, 694, 721
• GCD of 222, 231, 211, 752
• GCD of 659, 850, 423, 684

Given numbers are 609, 806, 800, 360
The greatest common divisor of numbers 609, 806, 800, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 609, 806, 800, 360 is 1.

1. What is the GCD of 609, 806, 800, 360?

GCD of given numbers 609, 806, 800, 360 is 1

2. How to calculate the greatest common divisor of 609, 806, 800, 360?

We can find the highest common divisor of 609, 806, 800, 360 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 609, 806, 800, 360 i.e 1.

3. How can I use the GCD of 609, 806, 800, 360Calculator?

Out the numbers 609, 806, 800, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.