GCD of 408, 357, 818, 592 Calculator

Given Input numbers are 408, 357, 818, 592

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

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 357

List of positive integer divisors of 357 that divides 357 without a remainder.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 818

List of positive integer divisors of 818 that divides 818 without a remainder.

1, 2, 409, 818

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Greatest Common Divisior

We found the divisors of 408, 357, 818, 592 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 357, 818, 592 is 1.

Therefore, GCD of numbers 408, 357, 818, 592 is 1

Given Input Data is 408, 357, 818, 592

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 357 is 3 x 7 x 17

Prime Factorization of 818 is 2 x 409

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

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(408, 357) = 2856

GCD(408, 357) = ( 408 x 357 ) / 2856

GCD(408, 357) = 145656 / 2856

GCD(408, 357) = 51

Step2:

Here we consider the GCD from the above i.e. 51 as first number and the next as 818

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

LCM(51, 818) = 41718

GCD(51, 818) = ( 51 x 818 ) / 41718

GCD(51, 818) = 41718 / 41718

GCD(51, 818) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 592

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

LCM(1, 592) = 592

GCD(1, 592) = ( 1 x 592 ) / 592

GCD(1, 592) = 592 / 592

GCD(1, 592) = 1

GCD of 408, 357, 818, 592 is 1

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1. What is the GCD of 408, 357, 818, 592?

GCD of 408, 357, 818, 592 is 1

2. Where do I get the detailed procedure to find GCD of 408, 357, 818, 592?

You can find a detailed procedure to find GCD of 408, 357, 818, 592 on our page.

3. How to find GCD of 408, 357, 818, 592 on a calculator?

You can find the GCD of 408, 357, 818, 592 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.