GCD of 588, 297, 12, 919 Calculator

Given Input numbers are 588, 297, 12, 919

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 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 588, 297, 12, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 297, 12, 919 is 1.

Therefore, GCD of numbers 588, 297, 12, 919 is 1

Given Input Data is 588, 297, 12, 919

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 297 is 3 x 3 x 3 x 11

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 919 is 919

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, 297) = 58212

GCD(588, 297) = ( 588 x 297 ) / 58212

GCD(588, 297) = 174636 / 58212

GCD(588, 297) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 12

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

LCM(3, 12) = 12

GCD(3, 12) = ( 3 x 12 ) / 12

GCD(3, 12) = 36 / 12

GCD(3, 12) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 919

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

LCM(3, 919) = 2757

GCD(3, 919) = ( 3 x 919 ) / 2757

GCD(3, 919) = 2757 / 2757

GCD(3, 919) = 1

GCD of 588, 297, 12, 919 is 1

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• GCD of 889, 529, 41, 770
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• GCD of 131, 607, 91, 902

1. What is the GCD of 588, 297, 12, 919?

GCD of 588, 297, 12, 919 is 1

2. Where do I get the detailed procedure to find GCD of 588, 297, 12, 919?

You can find a detailed procedure to find GCD of 588, 297, 12, 919 on our page.

3. How to find GCD of 588, 297, 12, 919 on a calculator?

You can find the GCD of 588, 297, 12, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.