GCD of 552, 678, 300, 819 Calculator

Given Input numbers are 552, 678, 300, 819

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 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

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 819 :

The positive integer divisors of 819 that completely divides 819 are.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

GCD of numbers is the greatest common divisor

So, the GCD (552, 678, 300, 819) = 3.

Given numbers are 552, 678, 300, 819

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 678 are 2 x 3 x 113

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

Prime factors of 819 are 3 x 3 x 7 x 13

The highest common occurrence is 3¹

Therefore, GCD of 552, 678, 300, 819 is 3.

Given numbers are 552, 678, 300, 819

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

Apply this formula for all numbers.

Step1:

LCM(552, 678) = 62376

GCD(552, 678) = ( 552 x 678 ) / 62376

= 552 / 678

= 552

Step2:

LCM(6, 300) = 300

GCD(6, 300) = ( 6 x 300 ) / 300

= 6 / 300

= 6

Step3:

LCM(6, 819) = 1638

GCD(6, 819) = ( 6 x 819 ) / 1638

= 6 / 819

= 6

So, Greatest Common Divisor of 552, 678, 300, 819 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 974, 353, 924, 608
• GCD of 280, 386, 350, 876
• GCD of 681, 380, 266, 541
• GCD of 151, 952, 444, 276
• GCD of 499, 954, 419, 981

Given numbers are 552, 678, 300, 819
The greatest common divisor of numbers 552, 678, 300, 819 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 678, 300, 819 is 3.

1. What is the GCD of 552, 678, 300, 819?

GCD of given numbers 552, 678, 300, 819 is 3

2. How to calculate the greatest common divisor of 552, 678, 300, 819?

We can find the highest common divisor of 552, 678, 300, 819 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, 678, 300, 819 i.e 3.

3. How can I use the GCD of 552, 678, 300, 819Calculator?

Out the numbers 552, 678, 300, 819 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.