GCD of 552, 408, 58, 562 Calculator

Given Input numbers are 552, 408, 58, 562

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 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 562

List of positive integer divisors of 562 that divides 562 without a remainder.

1, 2, 281, 562

Greatest Common Divisior

We found the divisors of 552, 408, 58, 562 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 408, 58, 562 is 2.

Therefore, GCD of numbers 552, 408, 58, 562 is 2

Given Input Data is 552, 408, 58, 562

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 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 58 is 2 x 29

Prime Factorization of 562 is 2 x 281

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 408) = 9384

GCD(552, 408) = ( 552 x 408 ) / 9384

GCD(552, 408) = 225216 / 9384

GCD(552, 408) = 24

Step2:

Here we consider the GCD from the above i.e. 24 as first number and the next as 58

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

LCM(24, 58) = 696

GCD(24, 58) = ( 24 x 58 ) / 696

GCD(24, 58) = 1392 / 696

GCD(24, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 562

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

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

GCD(2, 562) = 1124 / 562

GCD(2, 562) = 2

GCD of 552, 408, 58, 562 is 2

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1. What is the GCD of 552, 408, 58, 562?

GCD of 552, 408, 58, 562 is 2

2. Where do I get the detailed procedure to find GCD of 552, 408, 58, 562?

You can find a detailed procedure to find GCD of 552, 408, 58, 562 on our page.

3. How to find GCD of 552, 408, 58, 562 on a calculator?

You can find the GCD of 552, 408, 58, 562 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.