GCD of 144, 231, 418, 214 Calculator

Given Input numbers are 144, 231, 418, 214

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 231 :

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

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

Divisors of 418 :

The positive integer divisors of 418 that completely divides 418 are.

1, 2, 11, 19, 22, 38, 209, 418

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (144, 231, 418, 214) = 1.

Given numbers are 144, 231, 418, 214

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 231 are 3 x 7 x 11

Prime factors of 418 are 2 x 11 x 19

Prime factors of 214 are 2 x 107

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

Given numbers are 144, 231, 418, 214

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

Apply this formula for all numbers.

Step1:

LCM(144, 231) = 11088

GCD(144, 231) = ( 144 x 231 ) / 11088

= 144 / 231

= 144

Step2:

LCM(3, 418) = 1254

GCD(3, 418) = ( 3 x 418 ) / 1254

= 3 / 418

= 3

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 144, 231, 418, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 149, 450, 709, 756
• GCD of 272, 698, 598, 939
• GCD of 166, 112, 758, 375
• GCD of 332, 180, 173, 296
• GCD of 694, 995, 241, 430

Given numbers are 144, 231, 418, 214
The greatest common divisor of numbers 144, 231, 418, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 231, 418, 214 is 1.

1. What is the GCD of 144, 231, 418, 214?

GCD of given numbers 144, 231, 418, 214 is 1

2. How to calculate the greatest common divisor of 144, 231, 418, 214?

We can find the highest common divisor of 144, 231, 418, 214 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 144, 231, 418, 214 i.e 1.

3. How can I use the GCD of 144, 231, 418, 214Calculator?

Out the numbers 144, 231, 418, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.