GCD of 231, 730, 216, 180 Calculator

Given Input numbers are 231, 730, 216, 180

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

Divisors of 231 :

The positive integer divisors of 231 that completely divides 231 are.

1, 3, 7, 11, 21, 33, 77, 231

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

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 (231, 730, 216, 180) = 1.

Given numbers are 231, 730, 216, 180

The list of prime factors of all numbers are

Prime factors of 231 are 3 x 7 x 11

Prime factors of 730 are 2 x 5 x 73

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

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 231, 730, 216, 180

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

Apply this formula for all numbers.

Step1:

LCM(231, 730) = 168630

GCD(231, 730) = ( 231 x 730 ) / 168630

= 231 / 730

= 231

Step2:

LCM(1, 216) = 216

GCD(1, 216) = ( 1 x 216 ) / 216

= 1 / 216

= 1

Step3:

LCM(1, 180) = 180

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

= 1 / 180

= 1

So, Greatest Common Divisor of 231, 730, 216, 180 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 153, 353, 769, 382
• GCD of 996, 261, 542, 743
• GCD of 160, 824, 996, 264
• GCD of 727, 591, 623, 877
• GCD of 800, 716, 316, 314

Given numbers are 231, 730, 216, 180
The greatest common divisor of numbers 231, 730, 216, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 231, 730, 216, 180 is 1.

1. What is the GCD of 231, 730, 216, 180?

GCD of given numbers 231, 730, 216, 180 is 1

2. How to calculate the greatest common divisor of 231, 730, 216, 180?

We can find the highest common divisor of 231, 730, 216, 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 231, 730, 216, 180 i.e 1.

3. How can I use the GCD of 231, 730, 216, 180Calculator?

Out the numbers 231, 730, 216, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.