GCD of 355, 775, 290, 181 Calculator

Given Input numbers are 355, 775, 290, 181

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 775

List of positive integer divisors of 775 that divides 775 without a remainder.

1, 5, 25, 31, 155, 775

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 355, 775, 290, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 775, 290, 181 is 1.

Therefore, GCD of numbers 355, 775, 290, 181 is 1

Given Input Data is 355, 775, 290, 181

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 775 is 5 x 5 x 31

Prime Factorization of 290 is 2 x 5 x 29

Prime Factorization of 181 is 181

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, 775) = 55025

GCD(355, 775) = ( 355 x 775 ) / 55025

GCD(355, 775) = 275125 / 55025

GCD(355, 775) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 290

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

LCM(5, 290) = 290

GCD(5, 290) = ( 5 x 290 ) / 290

GCD(5, 290) = 1450 / 290

GCD(5, 290) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 181

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

LCM(5, 181) = 905

GCD(5, 181) = ( 5 x 181 ) / 905

GCD(5, 181) = 905 / 905

GCD(5, 181) = 1

GCD of 355, 775, 290, 181 is 1

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1. What is the GCD of 355, 775, 290, 181?

GCD of 355, 775, 290, 181 is 1

2. Where do I get the detailed procedure to find GCD of 355, 775, 290, 181?

You can find a detailed procedure to find GCD of 355, 775, 290, 181 on our page.

3. How to find GCD of 355, 775, 290, 181 on a calculator?

You can find the GCD of 355, 775, 290, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.