GCD of 228, 612, 345, 660 Calculator

Given Input numbers are 228, 612, 345, 660

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 612 :

The positive integer divisors of 612 that completely divides 612 are.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (228, 612, 345, 660) = 3.

Given numbers are 228, 612, 345, 660

The list of prime factors of all numbers are

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

Prime factors of 612 are 2 x 2 x 3 x 3 x 17

Prime factors of 345 are 3 x 5 x 23

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 228, 612, 345, 660 is 3.

Given numbers are 228, 612, 345, 660

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

Apply this formula for all numbers.

Step1:

LCM(228, 612) = 11628

GCD(228, 612) = ( 228 x 612 ) / 11628

= 228 / 612

= 228

Step2:

LCM(12, 345) = 1380

GCD(12, 345) = ( 12 x 345 ) / 1380

= 12 / 345

= 12

Step3:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3

So, Greatest Common Divisor of 228, 612, 345, 660 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 552, 843, 972, 879
• GCD of 302, 295, 607, 373
• GCD of 758, 377, 727, 551
• GCD of 429, 209, 665, 251
• GCD of 430, 596, 974, 351

Given numbers are 228, 612, 345, 660
The greatest common divisor of numbers 228, 612, 345, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 228, 612, 345, 660 is 3.

1. What is the GCD of 228, 612, 345, 660?

GCD of given numbers 228, 612, 345, 660 is 3

2. How to calculate the greatest common divisor of 228, 612, 345, 660?

We can find the highest common divisor of 228, 612, 345, 660 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, 612, 345, 660 i.e 3.

3. How can I use the GCD of 228, 612, 345, 660Calculator?

Out the numbers 228, 612, 345, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.