GCD of 600, 612, 228, 351 Calculator

Given Input numbers are 600, 612, 228, 351

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

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

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 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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

GCD of numbers is the greatest common divisor

So, the GCD (600, 612, 228, 351) = 3.

Given numbers are 600, 612, 228, 351

The list of prime factors of all numbers are

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

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

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

Prime factors of 351 are 3 x 3 x 3 x 13

The highest common occurrence is 3¹

Therefore, GCD of 600, 612, 228, 351 is 3.

Given numbers are 600, 612, 228, 351

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

Apply this formula for all numbers.

Step1:

LCM(600, 612) = 30600

GCD(600, 612) = ( 600 x 612 ) / 30600

= 600 / 612

= 600

Step2:

LCM(12, 228) = 228

GCD(12, 228) = ( 12 x 228 ) / 228

= 12 / 228

= 12

Step3:

LCM(12, 351) = 1404

GCD(12, 351) = ( 12 x 351 ) / 1404

= 12 / 351

= 12

So, Greatest Common Divisor of 600, 612, 228, 351 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 903, 869, 235, 886
• GCD of 236, 672, 497, 595
• GCD of 663, 587, 428, 561
• GCD of 311, 659, 776, 571
• GCD of 169, 307, 653, 293

Given numbers are 600, 612, 228, 351
The greatest common divisor of numbers 600, 612, 228, 351 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 600, 612, 228, 351 is 3.

1. What is the GCD of 600, 612, 228, 351?

GCD of given numbers 600, 612, 228, 351 is 3

2. How to calculate the greatest common divisor of 600, 612, 228, 351?

We can find the highest common divisor of 600, 612, 228, 351 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 600, 612, 228, 351 i.e 3.

3. How can I use the GCD of 600, 612, 228, 351Calculator?

Out the numbers 600, 612, 228, 351 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.