GCD of 597, 948, 23, 558 Calculator

Given Input numbers are 597, 948, 23, 558

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

Divisors of 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 948

List of positive integer divisors of 948 that divides 948 without a remainder.

1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 558

List of positive integer divisors of 558 that divides 558 without a remainder.

1, 2, 3, 6, 9, 18, 31, 62, 93, 186, 279, 558

Greatest Common Divisior

We found the divisors of 597, 948, 23, 558 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 597, 948, 23, 558 is 1.

Therefore, GCD of numbers 597, 948, 23, 558 is 1

Given Input Data is 597, 948, 23, 558

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

Prime Factorization of 597 is 3 x 199

Prime Factorization of 948 is 2 x 2 x 3 x 79

Prime Factorization of 23 is 23

Prime Factorization of 558 is 2 x 3 x 3 x 31

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(597, 948) = 188652

GCD(597, 948) = ( 597 x 948 ) / 188652

GCD(597, 948) = 565956 / 188652

GCD(597, 948) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 558

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

LCM(1, 558) = 558

GCD(1, 558) = ( 1 x 558 ) / 558

GCD(1, 558) = 558 / 558

GCD(1, 558) = 1

GCD of 597, 948, 23, 558 is 1

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1. What is the GCD of 597, 948, 23, 558?

GCD of 597, 948, 23, 558 is 1

2. Where do I get the detailed procedure to find GCD of 597, 948, 23, 558?

You can find a detailed procedure to find GCD of 597, 948, 23, 558 on our page.

3. How to find GCD of 597, 948, 23, 558 on a calculator?

You can find the GCD of 597, 948, 23, 558 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.