GCD of 608, 905, 350, 361 Calculator

Given Input numbers are 608, 905, 350, 361

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

Divisors of 608

List of positive integer divisors of 608 that divides 608 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 361

List of positive integer divisors of 361 that divides 361 without a remainder.

1, 19, 361

Greatest Common Divisior

We found the divisors of 608, 905, 350, 361 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 608, 905, 350, 361 is 1.

Therefore, GCD of numbers 608, 905, 350, 361 is 1

Given Input Data is 608, 905, 350, 361

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

Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19

Prime Factorization of 905 is 5 x 181

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 361 is 19 x 19

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(608, 905) = 550240

GCD(608, 905) = ( 608 x 905 ) / 550240

GCD(608, 905) = 550240 / 550240

GCD(608, 905) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 350

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

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

GCD(1, 350) = 350 / 350

GCD(1, 350) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 361

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

LCM(1, 361) = 361

GCD(1, 361) = ( 1 x 361 ) / 361

GCD(1, 361) = 361 / 361

GCD(1, 361) = 1

GCD of 608, 905, 350, 361 is 1

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• GCD of 463, 667, 683, 361
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1. What is the GCD of 608, 905, 350, 361?

GCD of 608, 905, 350, 361 is 1

2. Where do I get the detailed procedure to find GCD of 608, 905, 350, 361?

You can find a detailed procedure to find GCD of 608, 905, 350, 361 on our page.

3. How to find GCD of 608, 905, 350, 361 on a calculator?

You can find the GCD of 608, 905, 350, 361 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.