GCD of 355, 683, 90, 695 Calculator

Given Input numbers are 355, 683, 90, 695

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 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 695

List of positive integer divisors of 695 that divides 695 without a remainder.

1, 5, 139, 695

Greatest Common Divisior

We found the divisors of 355, 683, 90, 695 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 683, 90, 695 is 1.

Therefore, GCD of numbers 355, 683, 90, 695 is 1

Given Input Data is 355, 683, 90, 695

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 683 is 683

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 695 is 5 x 139

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, 683) = 242465

GCD(355, 683) = ( 355 x 683 ) / 242465

GCD(355, 683) = 242465 / 242465

GCD(355, 683) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 90

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

LCM(1, 90) = 90

GCD(1, 90) = ( 1 x 90 ) / 90

GCD(1, 90) = 90 / 90

GCD(1, 90) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 695

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

LCM(1, 695) = 695

GCD(1, 695) = ( 1 x 695 ) / 695

GCD(1, 695) = 695 / 695

GCD(1, 695) = 1

GCD of 355, 683, 90, 695 is 1

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1. What is the GCD of 355, 683, 90, 695?

GCD of 355, 683, 90, 695 is 1

2. Where do I get the detailed procedure to find GCD of 355, 683, 90, 695?

You can find a detailed procedure to find GCD of 355, 683, 90, 695 on our page.

3. How to find GCD of 355, 683, 90, 695 on a calculator?

You can find the GCD of 355, 683, 90, 695 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.