GCD of 817, 690, 355, 642 Calculator

Given Input numbers are 817, 690, 355, 642

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

Divisors of 817

List of positive integer divisors of 817 that divides 817 without a remainder.

1, 19, 43, 817

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 642

List of positive integer divisors of 642 that divides 642 without a remainder.

1, 2, 3, 6, 107, 214, 321, 642

Greatest Common Divisior

We found the divisors of 817, 690, 355, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 817, 690, 355, 642 is 1.

Therefore, GCD of numbers 817, 690, 355, 642 is 1

Given Input Data is 817, 690, 355, 642

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

Prime Factorization of 817 is 19 x 43

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 642 is 2 x 3 x 107

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(817, 690) = 563730

GCD(817, 690) = ( 817 x 690 ) / 563730

GCD(817, 690) = 563730 / 563730

GCD(817, 690) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 642

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

LCM(1, 642) = 642

GCD(1, 642) = ( 1 x 642 ) / 642

GCD(1, 642) = 642 / 642

GCD(1, 642) = 1

GCD of 817, 690, 355, 642 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 431, 579, 847, 574
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1. What is the GCD of 817, 690, 355, 642?

GCD of 817, 690, 355, 642 is 1

2. Where do I get the detailed procedure to find GCD of 817, 690, 355, 642?

You can find a detailed procedure to find GCD of 817, 690, 355, 642 on our page.

3. How to find GCD of 817, 690, 355, 642 on a calculator?

You can find the GCD of 817, 690, 355, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.