GCD of 552, 300, 888, 204 Calculator

Given Input numbers are 552, 300, 888, 204

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

GCD of numbers is the greatest common divisor

So, the GCD (552, 300, 888, 204) = 12.

Given numbers are 552, 300, 888, 204

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 204 are 2 x 2 x 3 x 17

The highest common occurrence is 2² x 3¹

Therefore, GCD of 552, 300, 888, 204 is 12.

Given numbers are 552, 300, 888, 204

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

Apply this formula for all numbers.

Step1:

LCM(552, 300) = 13800

GCD(552, 300) = ( 552 x 300 ) / 13800

= 552 / 300

= 552

Step2:

LCM(12, 888) = 888

GCD(12, 888) = ( 12 x 888 ) / 888

= 12 / 888

= 12

Step3:

LCM(12, 204) = 204

GCD(12, 204) = ( 12 x 204 ) / 204

= 12 / 204

= 12

So, Greatest Common Divisor of 552, 300, 888, 204 is 12

Here are some samples of GCD of Numbers calculations.

• GCD of 931, 219, 838, 821
• GCD of 428, 897, 514, 726
• GCD of 620, 808, 128, 119
• GCD of 304, 566, 532, 796
• GCD of 266, 984, 308, 885

Given numbers are 552, 300, 888, 204
The greatest common divisor of numbers 552, 300, 888, 204 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 300, 888, 204 is 12.

1. What is the GCD of 552, 300, 888, 204?

GCD of given numbers 552, 300, 888, 204 is 12

2. How to calculate the greatest common divisor of 552, 300, 888, 204?

We can find the highest common divisor of 552, 300, 888, 204 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 552, 300, 888, 204 i.e 12.

3. How can I use the GCD of 552, 300, 888, 204Calculator?

Out the numbers 552, 300, 888, 204 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.