GCD of 588, 807, 47, 113 Calculator

Given Input numbers are 588, 807, 47, 113

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

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 807

List of positive integer divisors of 807 that divides 807 without a remainder.

1, 3, 269, 807

Divisors of 47

List of positive integer divisors of 47 that divides 47 without a remainder.

1, 47

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Greatest Common Divisior

We found the divisors of 588, 807, 47, 113 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 807, 47, 113 is 1.

Therefore, GCD of numbers 588, 807, 47, 113 is 1

Given Input Data is 588, 807, 47, 113

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

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

Prime Factorization of 807 is 3 x 269

Prime Factorization of 47 is 47

Prime Factorization of 113 is 113

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(588, 807) = 158172

GCD(588, 807) = ( 588 x 807 ) / 158172

GCD(588, 807) = 474516 / 158172

GCD(588, 807) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 47

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

LCM(3, 47) = 141

GCD(3, 47) = ( 3 x 47 ) / 141

GCD(3, 47) = 141 / 141

GCD(3, 47) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 113

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

LCM(1, 113) = 113

GCD(1, 113) = ( 1 x 113 ) / 113

GCD(1, 113) = 113 / 113

GCD(1, 113) = 1

GCD of 588, 807, 47, 113 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 976, 216, 37, 544
• GCD of 981, 251, 76, 894
• GCD of 480, 959, 12, 303
• GCD of 236, 293, 25, 439
• GCD of 441, 733, 34, 648

1. What is the GCD of 588, 807, 47, 113?

GCD of 588, 807, 47, 113 is 1

2. Where do I get the detailed procedure to find GCD of 588, 807, 47, 113?

You can find a detailed procedure to find GCD of 588, 807, 47, 113 on our page.

3. How to find GCD of 588, 807, 47, 113 on a calculator?

You can find the GCD of 588, 807, 47, 113 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.