GCD of 144, 321, 338, 228 Calculator

Given Input numbers are 144, 321, 338, 228

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 321 :

The positive integer divisors of 321 that completely divides 321 are.

1, 3, 107, 321

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

GCD of numbers is the greatest common divisor

So, the GCD (144, 321, 338, 228) = 1.

Given numbers are 144, 321, 338, 228

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 321 are 3 x 107

Prime factors of 338 are 2 x 13 x 13

Prime factors of 228 are 2 x 2 x 3 x 19

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

Given numbers are 144, 321, 338, 228

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

Apply this formula for all numbers.

Step1:

LCM(144, 321) = 15408

GCD(144, 321) = ( 144 x 321 ) / 15408

= 144 / 321

= 144

Step2:

LCM(3, 338) = 1014

GCD(3, 338) = ( 3 x 338 ) / 1014

= 3 / 338

= 3

Step3:

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

= 1 / 228

= 1

So, Greatest Common Divisor of 144, 321, 338, 228 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 145, 771, 262, 678
• GCD of 720, 655, 285, 369
• GCD of 513, 995, 855, 983
• GCD of 893, 285, 193, 967
• GCD of 592, 446, 925, 819

Given numbers are 144, 321, 338, 228
The greatest common divisor of numbers 144, 321, 338, 228 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 321, 338, 228 is 1.

1. What is the GCD of 144, 321, 338, 228?

GCD of given numbers 144, 321, 338, 228 is 1

2. How to calculate the greatest common divisor of 144, 321, 338, 228?

We can find the highest common divisor of 144, 321, 338, 228 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, 321, 338, 228 i.e 1.

3. How can I use the GCD of 144, 321, 338, 228Calculator?

Out the numbers 144, 321, 338, 228 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.