GCD of 552, 376, 822, 509 Calculator

Given Input numbers are 552, 376, 822, 509

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 376

List of positive integer divisors of 376 that divides 376 without a remainder.

1, 2, 4, 8, 47, 94, 188, 376

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 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Greatest Common Divisior

We found the divisors of 552, 376, 822, 509 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 376, 822, 509 is 1.

Therefore, GCD of numbers 552, 376, 822, 509 is 1

Given Input Data is 552, 376, 822, 509

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 376 is 2 x 2 x 2 x 47

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 509 is 509

The above numbers do not have any common prime factor. So GCD is 1

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, 376) = 25944

GCD(552, 376) = ( 552 x 376 ) / 25944

GCD(552, 376) = 207552 / 25944

GCD(552, 376) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 822

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

LCM(8, 822) = 3288

GCD(8, 822) = ( 8 x 822 ) / 3288

GCD(8, 822) = 6576 / 3288

GCD(8, 822) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 509

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

LCM(2, 509) = 1018

GCD(2, 509) = ( 2 x 509 ) / 1018

GCD(2, 509) = 1018 / 1018

GCD(2, 509) = 1

GCD of 552, 376, 822, 509 is 1

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1. What is the GCD of 552, 376, 822, 509?

GCD of 552, 376, 822, 509 is 1

2. Where do I get the detailed procedure to find GCD of 552, 376, 822, 509?

You can find a detailed procedure to find GCD of 552, 376, 822, 509 on our page.

3. How to find GCD of 552, 376, 822, 509 on a calculator?

You can find the GCD of 552, 376, 822, 509 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.