GCD of 552, 822, 807, 879 Calculator

Given Input numbers are 552, 822, 807, 879

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 552

List of positive integer divisors of 552 that divides 552 without a remainder.

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

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 879

List of positive integer divisors of 879 that divides 879 without a remainder.

1, 3, 293, 879

Greatest Common Divisior

We found the divisors of 552, 822, 807, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 822, 807, 879 is 3.

Therefore, GCD of numbers 552, 822, 807, 879 is 3

Given Input Data is 552, 822, 807, 879

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 807 is 3 x 269

Prime Factorization of 879 is 3 x 293

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

Step1:

Let's calculate the GCD of first two numbers

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

LCM(552, 822) = 75624

GCD(552, 822) = ( 552 x 822 ) / 75624

GCD(552, 822) = 453744 / 75624

GCD(552, 822) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 807

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

LCM(6, 807) = 1614

GCD(6, 807) = ( 6 x 807 ) / 1614

GCD(6, 807) = 4842 / 1614

GCD(6, 807) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 879

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

LCM(3, 879) = 879

GCD(3, 879) = ( 3 x 879 ) / 879

GCD(3, 879) = 2637 / 879

GCD(3, 879) = 3

GCD of 552, 822, 807, 879 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 586, 390, 450, 571
• GCD of 478, 946, 228, 654
• GCD of 383, 970, 642, 249
• GCD of 571, 731, 746, 706
• GCD of 143, 312, 548, 934

1. What is the GCD of 552, 822, 807, 879?

GCD of 552, 822, 807, 879 is 3

2. Where do I get the detailed procedure to find GCD of 552, 822, 807, 879?

You can find a detailed procedure to find GCD of 552, 822, 807, 879 on our page.

3. How to find GCD of 552, 822, 807, 879 on a calculator?

You can find the GCD of 552, 822, 807, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.