GCD of 58, 366, 469, 433 Calculator

Given Input numbers are 58, 366, 469, 433

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 433

List of positive integer divisors of 433 that divides 433 without a remainder.

1, 433

Greatest Common Divisior

We found the divisors of 58, 366, 469, 433 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 366, 469, 433 is 1.

Therefore, GCD of numbers 58, 366, 469, 433 is 1

Given Input Data is 58, 366, 469, 433

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 366 is 2 x 3 x 61

Prime Factorization of 469 is 7 x 67

Prime Factorization of 433 is 433

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(58, 366) = 10614

GCD(58, 366) = ( 58 x 366 ) / 10614

GCD(58, 366) = 21228 / 10614

GCD(58, 366) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 469

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

LCM(2, 469) = 938

GCD(2, 469) = ( 2 x 469 ) / 938

GCD(2, 469) = 938 / 938

GCD(2, 469) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 433

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

LCM(1, 433) = 433

GCD(1, 433) = ( 1 x 433 ) / 433

GCD(1, 433) = 433 / 433

GCD(1, 433) = 1

GCD of 58, 366, 469, 433 is 1

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1. What is the GCD of 58, 366, 469, 433?

GCD of 58, 366, 469, 433 is 1

2. Where do I get the detailed procedure to find GCD of 58, 366, 469, 433?

You can find a detailed procedure to find GCD of 58, 366, 469, 433 on our page.

3. How to find GCD of 58, 366, 469, 433 on a calculator?

You can find the GCD of 58, 366, 469, 433 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.