GCD of 183, 648, 58, 958 Calculator

Given Input numbers are 183, 648, 58, 958

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 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 58

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

1, 2, 29, 58

Divisors of 958

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

1, 2, 479, 958

Greatest Common Divisior

We found the divisors of 183, 648, 58, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 183, 648, 58, 958 is 1.

Therefore, GCD of numbers 183, 648, 58, 958 is 1

Given Input Data is 183, 648, 58, 958

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

Prime Factorization of 183 is 3 x 61

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 958 is 2 x 479

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, 648) = 39528

GCD(183, 648) = ( 183 x 648 ) / 39528

GCD(183, 648) = 118584 / 39528

GCD(183, 648) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 58

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

LCM(3, 58) = 174

GCD(3, 58) = ( 3 x 58 ) / 174

GCD(3, 58) = 174 / 174

GCD(3, 58) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 958

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

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

GCD(1, 958) = 958 / 958

GCD(1, 958) = 1

GCD of 183, 648, 58, 958 is 1

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1. What is the GCD of 183, 648, 58, 958?

GCD of 183, 648, 58, 958 is 1

2. Where do I get the detailed procedure to find GCD of 183, 648, 58, 958?

You can find a detailed procedure to find GCD of 183, 648, 58, 958 on our page.

3. How to find GCD of 183, 648, 58, 958 on a calculator?

You can find the GCD of 183, 648, 58, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.