GCD of 560, 561, 309, 180 Calculator

Given Input numbers are 560, 561, 309, 180

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 561 :

The positive integer divisors of 561 that completely divides 561 are.

1, 3, 11, 17, 33, 51, 187, 561

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (560, 561, 309, 180) = 1.

Given numbers are 560, 561, 309, 180

The list of prime factors of all numbers are

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 561 are 3 x 11 x 17

Prime factors of 309 are 3 x 103

Prime factors of 180 are 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 560, 561, 309, 180

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

Apply this formula for all numbers.

Step1:

LCM(560, 561) = 314160

GCD(560, 561) = ( 560 x 561 ) / 314160

= 560 / 561

= 560

Step2:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

Step3:

LCM(1, 180) = 180

GCD(1, 180) = ( 1 x 180 ) / 180

= 1 / 180

= 1

So, Greatest Common Divisor of 560, 561, 309, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 813, 818, 933, 499
• GCD of 823, 682, 601, 111
• GCD of 581, 783, 437, 157
• GCD of 665, 560, 341, 961
• GCD of 926, 123, 958, 599

Given numbers are 560, 561, 309, 180
The greatest common divisor of numbers 560, 561, 309, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 560, 561, 309, 180 is 1.

1. What is the GCD of 560, 561, 309, 180?

GCD of given numbers 560, 561, 309, 180 is 1

2. How to calculate the greatest common divisor of 560, 561, 309, 180?

We can find the highest common divisor of 560, 561, 309, 180 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 560, 561, 309, 180 i.e 1.

3. How can I use the GCD of 560, 561, 309, 180Calculator?

Out the numbers 560, 561, 309, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.