GCD of 358, 808, 59, 690 Calculator

Given Input numbers are 358, 808, 59, 690

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

Divisors of 358

List of positive integer divisors of 358 that divides 358 without a remainder.

1, 2, 179, 358

Divisors of 808

List of positive integer divisors of 808 that divides 808 without a remainder.

1, 2, 4, 8, 101, 202, 404, 808

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 358, 808, 59, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 358, 808, 59, 690 is 1.

Therefore, GCD of numbers 358, 808, 59, 690 is 1

Given Input Data is 358, 808, 59, 690

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

Prime Factorization of 358 is 2 x 179

Prime Factorization of 808 is 2 x 2 x 2 x 101

Prime Factorization of 59 is 59

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(358, 808) = 144632

GCD(358, 808) = ( 358 x 808 ) / 144632

GCD(358, 808) = 289264 / 144632

GCD(358, 808) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 59

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

LCM(2, 59) = 118

GCD(2, 59) = ( 2 x 59 ) / 118

GCD(2, 59) = 118 / 118

GCD(2, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 358, 808, 59, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 854, 653, 30, 711
• GCD of 979, 996, 72, 713
• GCD of 186, 108, 96, 588
• GCD of 274, 818, 35, 172
• GCD of 763, 757, 18, 589

1. What is the GCD of 358, 808, 59, 690?

GCD of 358, 808, 59, 690 is 1

2. Where do I get the detailed procedure to find GCD of 358, 808, 59, 690?

You can find a detailed procedure to find GCD of 358, 808, 59, 690 on our page.

3. How to find GCD of 358, 808, 59, 690 on a calculator?

You can find the GCD of 358, 808, 59, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.