GCD of 348, 268, 38, 589 Calculator

Given Input numbers are 348, 268, 38, 589

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

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 268

List of positive integer divisors of 268 that divides 268 without a remainder.

1, 2, 4, 67, 134, 268

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

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 348, 268, 38, 589 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 348, 268, 38, 589 is 1.

Therefore, GCD of numbers 348, 268, 38, 589 is 1

Given Input Data is 348, 268, 38, 589

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

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 268 is 2 x 2 x 67

Prime Factorization of 38 is 2 x 19

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(348, 268) = 23316

GCD(348, 268) = ( 348 x 268 ) / 23316

GCD(348, 268) = 93264 / 23316

GCD(348, 268) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 589

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

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

GCD(2, 589) = 1178 / 1178

GCD(2, 589) = 1

GCD of 348, 268, 38, 589 is 1

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• GCD of 504, 873, 11, 725
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1. What is the GCD of 348, 268, 38, 589?

GCD of 348, 268, 38, 589 is 1

2. Where do I get the detailed procedure to find GCD of 348, 268, 38, 589?

You can find a detailed procedure to find GCD of 348, 268, 38, 589 on our page.

3. How to find GCD of 348, 268, 38, 589 on a calculator?

You can find the GCD of 348, 268, 38, 589 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.