GCD of 361, 351, 47, 290 Calculator

Given Input numbers are 361, 351, 47, 290

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

Divisors of 361

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

1, 19, 361

Divisors of 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 290

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

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

Greatest Common Divisior

We found the divisors of 361, 351, 47, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 361, 351, 47, 290 is 1.

Therefore, GCD of numbers 361, 351, 47, 290 is 1

Given Input Data is 361, 351, 47, 290

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

Prime Factorization of 361 is 19 x 19

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 47 is 47

Prime Factorization of 290 is 2 x 5 x 29

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(361, 351) = 126711

GCD(361, 351) = ( 361 x 351 ) / 126711

GCD(361, 351) = 126711 / 126711

GCD(361, 351) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 47

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

LCM(1, 47) = 47

GCD(1, 47) = ( 1 x 47 ) / 47

GCD(1, 47) = 47 / 47

GCD(1, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 361, 351, 47, 290 is 1

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• GCD of 501, 332, 55, 851
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1. What is the GCD of 361, 351, 47, 290?

GCD of 361, 351, 47, 290 is 1

2. Where do I get the detailed procedure to find GCD of 361, 351, 47, 290?

You can find a detailed procedure to find GCD of 361, 351, 47, 290 on our page.

3. How to find GCD of 361, 351, 47, 290 on a calculator?

You can find the GCD of 361, 351, 47, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.