GCD of 180, 966, 57, 361 Calculator

Given Input numbers are 180, 966, 57, 361

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

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

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 57 :

The positive integer divisors of 57 that completely divides 57 are.

1, 3, 19, 57

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

GCD of numbers is the greatest common divisor

So, the GCD (180, 966, 57, 361) = 1.

Given numbers are 180, 966, 57, 361

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 57 are 3 x 19

Prime factors of 361 are 19 x 19

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

Given numbers are 180, 966, 57, 361

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

Apply this formula for all numbers.

Step1:

LCM(180, 966) = 28980

GCD(180, 966) = ( 180 x 966 ) / 28980

= 180 / 966

= 180

Step2:

LCM(6, 57) = 114

GCD(6, 57) = ( 6 x 57 ) / 114

= 6 / 57

= 6

Step3:

LCM(3, 361) = 1083

GCD(3, 361) = ( 3 x 361 ) / 1083

= 3 / 361

= 3

So, Greatest Common Divisor of 180, 966, 57, 361 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 649, 97, 182
• GCD of 387, 181, 95, 312
• GCD of 221, 836, 59, 137
• GCD of 303, 875, 61, 195
• GCD of 222, 582, 80, 476

Given numbers are 180, 966, 57, 361
The greatest common divisor of numbers 180, 966, 57, 361 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 966, 57, 361 is 1.

1. What is the GCD of 180, 966, 57, 361?

GCD of given numbers 180, 966, 57, 361 is 1

2. How to calculate the greatest common divisor of 180, 966, 57, 361?

We can find the highest common divisor of 180, 966, 57, 361 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 180, 966, 57, 361 i.e 1.

3. How can I use the GCD of 180, 966, 57, 361Calculator?

Out the numbers 180, 966, 57, 361 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.