GCD of 355, 656, 69, 365 Calculator

Given Input numbers are 355, 656, 69, 365

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

Divisors of 355

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

1, 5, 71, 355

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 355, 656, 69, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 656, 69, 365 is 1.

Therefore, GCD of numbers 355, 656, 69, 365 is 1

Given Input Data is 355, 656, 69, 365

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 69 is 3 x 23

Prime Factorization of 365 is 5 x 73

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(355, 656) = 232880

GCD(355, 656) = ( 355 x 656 ) / 232880

GCD(355, 656) = 232880 / 232880

GCD(355, 656) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 355, 656, 69, 365 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 525, 283, 55, 220
• GCD of 506, 469, 89, 826
• GCD of 847, 445, 69, 902
• GCD of 536, 317, 75, 605
• GCD of 470, 299, 36, 581

1. What is the GCD of 355, 656, 69, 365?

GCD of 355, 656, 69, 365 is 1

2. Where do I get the detailed procedure to find GCD of 355, 656, 69, 365?

You can find a detailed procedure to find GCD of 355, 656, 69, 365 on our page.

3. How to find GCD of 355, 656, 69, 365 on a calculator?

You can find the GCD of 355, 656, 69, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.