GCD of 588, 930, 87, 398 Calculator

Given Input numbers are 588, 930, 87, 398

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 930

List of positive integer divisors of 930 that divides 930 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 31, 62, 93, 155, 186, 310, 465, 930

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Greatest Common Divisior

We found the divisors of 588, 930, 87, 398 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 588, 930, 87, 398 is 1.

Therefore, GCD of numbers 588, 930, 87, 398 is 1

Given Input Data is 588, 930, 87, 398

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 930 is 2 x 3 x 5 x 31

Prime Factorization of 87 is 3 x 29

Prime Factorization of 398 is 2 x 199

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, 930) = 91140

GCD(588, 930) = ( 588 x 930 ) / 91140

GCD(588, 930) = 546840 / 91140

GCD(588, 930) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 87

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

LCM(6, 87) = 174

GCD(6, 87) = ( 6 x 87 ) / 174

GCD(6, 87) = 522 / 174

GCD(6, 87) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 398

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

LCM(3, 398) = 1194

GCD(3, 398) = ( 3 x 398 ) / 1194

GCD(3, 398) = 1194 / 1194

GCD(3, 398) = 1

GCD of 588, 930, 87, 398 is 1

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• GCD of 532, 569, 49, 249
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• GCD of 459, 465, 36, 289

1. What is the GCD of 588, 930, 87, 398?

GCD of 588, 930, 87, 398 is 1

2. Where do I get the detailed procedure to find GCD of 588, 930, 87, 398?

You can find a detailed procedure to find GCD of 588, 930, 87, 398 on our page.

3. How to find GCD of 588, 930, 87, 398 on a calculator?

You can find the GCD of 588, 930, 87, 398 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.