GCD of 180, 243, 320, 238 Calculator

Given Input numbers are 180, 243, 320, 238

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 243 :

The positive integer divisors of 243 that completely divides 243 are.

1, 3, 9, 27, 81, 243

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

GCD of numbers is the greatest common divisor

So, the GCD (180, 243, 320, 238) = 1.

Given numbers are 180, 243, 320, 238

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 243 are 3 x 3 x 3 x 3 x 3

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 238 are 2 x 7 x 17

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

Given numbers are 180, 243, 320, 238

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

Apply this formula for all numbers.

Step1:

LCM(180, 243) = 4860

GCD(180, 243) = ( 180 x 243 ) / 4860

= 180 / 243

= 180

Step2:

LCM(9, 320) = 2880

GCD(9, 320) = ( 9 x 320 ) / 2880

= 9 / 320

= 9

Step3:

LCM(1, 238) = 238

GCD(1, 238) = ( 1 x 238 ) / 238

= 1 / 238

= 1

So, Greatest Common Divisor of 180, 243, 320, 238 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 280, 643, 427, 318
• GCD of 856, 982, 124, 321
• GCD of 660, 866, 204, 708
• GCD of 358, 370, 436, 622
• GCD of 901, 557, 469, 769

Given numbers are 180, 243, 320, 238
The greatest common divisor of numbers 180, 243, 320, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 243, 320, 238 is 1.

1. What is the GCD of 180, 243, 320, 238?

GCD of given numbers 180, 243, 320, 238 is 1

2. How to calculate the greatest common divisor of 180, 243, 320, 238?

We can find the highest common divisor of 180, 243, 320, 238 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, 243, 320, 238 i.e 1.

3. How can I use the GCD of 180, 243, 320, 238Calculator?

Out the numbers 180, 243, 320, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.