GCD of 601, 276, 112, 589 Calculator

Given Input numbers are 601, 276, 112, 589

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

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 112

List of positive integer divisors of 112 that divides 112 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Greatest Common Divisior

We found the divisors of 601, 276, 112, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 276, 112, 589 is 1.

Therefore, GCD of numbers 601, 276, 112, 589 is 1

Given Input Data is 601, 276, 112, 589

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

Prime Factorization of 601 is 601

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 112 is 2 x 2 x 2 x 2 x 7

Prime Factorization of 589 is 19 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(601, 276) = 165876

GCD(601, 276) = ( 601 x 276 ) / 165876

GCD(601, 276) = 165876 / 165876

GCD(601, 276) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 112

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

LCM(1, 112) = 112

GCD(1, 112) = ( 1 x 112 ) / 112

GCD(1, 112) = 112 / 112

GCD(1, 112) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 589

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

LCM(1, 589) = 589

GCD(1, 589) = ( 1 x 589 ) / 589

GCD(1, 589) = 589 / 589

GCD(1, 589) = 1

GCD of 601, 276, 112, 589 is 1

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1. What is the GCD of 601, 276, 112, 589?

GCD of 601, 276, 112, 589 is 1

2. Where do I get the detailed procedure to find GCD of 601, 276, 112, 589?

You can find a detailed procedure to find GCD of 601, 276, 112, 589 on our page.

3. How to find GCD of 601, 276, 112, 589 on a calculator?

You can find the GCD of 601, 276, 112, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.