GCD of 180, 723, 331, 189 Calculator

Given Input numbers are 180, 723, 331, 189

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 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

Divisors of 331 :

The positive integer divisors of 331 that completely divides 331 are.

1, 331

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

GCD of numbers is the greatest common divisor

So, the GCD (180, 723, 331, 189) = 1.

Given numbers are 180, 723, 331, 189

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 723 are 3 x 241

Prime factors of 331 are 331

Prime factors of 189 are 3 x 3 x 3 x 7

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

Given numbers are 180, 723, 331, 189

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

Apply this formula for all numbers.

Step1:

LCM(180, 723) = 43380

GCD(180, 723) = ( 180 x 723 ) / 43380

= 180 / 723

= 180

Step2:

LCM(3, 331) = 993

GCD(3, 331) = ( 3 x 331 ) / 993

= 3 / 331

= 3

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 180, 723, 331, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 286, 957, 808
• GCD of 554, 326, 562, 978
• GCD of 810, 762, 676, 798
• GCD of 558, 621, 838, 357
• GCD of 555, 202, 975, 263

Given numbers are 180, 723, 331, 189
The greatest common divisor of numbers 180, 723, 331, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 723, 331, 189 is 1.

1. What is the GCD of 180, 723, 331, 189?

GCD of given numbers 180, 723, 331, 189 is 1

2. How to calculate the greatest common divisor of 180, 723, 331, 189?

We can find the highest common divisor of 180, 723, 331, 189 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, 723, 331, 189 i.e 1.

3. How can I use the GCD of 180, 723, 331, 189Calculator?

Out the numbers 180, 723, 331, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.