GCD of 228, 605, 72, 309 Calculator

Given Input numbers are 228, 605, 72, 309

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

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

Divisors of 605 :

The positive integer divisors of 605 that completely divides 605 are.

1, 5, 11, 55, 121, 605

Divisors of 72 :

The positive integer divisors of 72 that completely divides 72 are.

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

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (228, 605, 72, 309) = 1.

Given numbers are 228, 605, 72, 309

The list of prime factors of all numbers are

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

Prime factors of 605 are 5 x 11 x 11

Prime factors of 72 are 2 x 2 x 2 x 3 x 3

Prime factors of 309 are 3 x 103

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

Given numbers are 228, 605, 72, 309

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

Apply this formula for all numbers.

Step1:

LCM(228, 605) = 137940

GCD(228, 605) = ( 228 x 605 ) / 137940

= 228 / 605

= 228

Step2:

LCM(1, 72) = 72

GCD(1, 72) = ( 1 x 72 ) / 72

= 1 / 72

= 1

Step3:

LCM(1, 309) = 309

GCD(1, 309) = ( 1 x 309 ) / 309

= 1 / 309

= 1

So, Greatest Common Divisor of 228, 605, 72, 309 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 919, 816, 66, 558
• GCD of 529, 278, 74, 992
• GCD of 659, 826, 33, 174
• GCD of 797, 544, 66, 933
• GCD of 940, 404, 12, 709

Given numbers are 228, 605, 72, 309
The greatest common divisor of numbers 228, 605, 72, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 605, 72, 309 is 1.

1. What is the GCD of 228, 605, 72, 309?

GCD of given numbers 228, 605, 72, 309 is 1

2. How to calculate the greatest common divisor of 228, 605, 72, 309?

We can find the highest common divisor of 228, 605, 72, 309 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 228, 605, 72, 309 i.e 1.

3. How can I use the GCD of 228, 605, 72, 309Calculator?

Out the numbers 228, 605, 72, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.