GCD of 183, 657, 958, 475 Calculator

Given Input numbers are 183, 657, 958, 475

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

Divisors of 183

List of positive integer divisors of 183 that divides 183 without a remainder.

1, 3, 61, 183

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 958

List of positive integer divisors of 958 that divides 958 without a remainder.

1, 2, 479, 958

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Greatest Common Divisior

We found the divisors of 183, 657, 958, 475 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 657, 958, 475 is 1.

Therefore, GCD of numbers 183, 657, 958, 475 is 1

Given Input Data is 183, 657, 958, 475

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 958 is 2 x 479

Prime Factorization of 475 is 5 x 5 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(183, 657) = 40077

GCD(183, 657) = ( 183 x 657 ) / 40077

GCD(183, 657) = 120231 / 40077

GCD(183, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 958

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

LCM(3, 958) = 2874

GCD(3, 958) = ( 3 x 958 ) / 2874

GCD(3, 958) = 2874 / 2874

GCD(3, 958) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 475

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

LCM(1, 475) = 475

GCD(1, 475) = ( 1 x 475 ) / 475

GCD(1, 475) = 475 / 475

GCD(1, 475) = 1

GCD of 183, 657, 958, 475 is 1

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1. What is the GCD of 183, 657, 958, 475?

GCD of 183, 657, 958, 475 is 1

2. Where do I get the detailed procedure to find GCD of 183, 657, 958, 475?

You can find a detailed procedure to find GCD of 183, 657, 958, 475 on our page.

3. How to find GCD of 183, 657, 958, 475 on a calculator?

You can find the GCD of 183, 657, 958, 475 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.