GCD of 38, 515, 676, 591 Calculator

Given Input numbers are 38, 515, 676, 591

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

Divisors of 38

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

1, 2, 19, 38

Divisors of 515

List of positive integer divisors of 515 that divides 515 without a remainder.

1, 5, 103, 515

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Greatest Common Divisior

We found the divisors of 38, 515, 676, 591 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 515, 676, 591 is 1.

Therefore, GCD of numbers 38, 515, 676, 591 is 1

Given Input Data is 38, 515, 676, 591

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 515 is 5 x 103

Prime Factorization of 676 is 2 x 2 x 13 x 13

Prime Factorization of 591 is 3 x 197

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(38, 515) = 19570

GCD(38, 515) = ( 38 x 515 ) / 19570

GCD(38, 515) = 19570 / 19570

GCD(38, 515) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 591

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

LCM(1, 591) = 591

GCD(1, 591) = ( 1 x 591 ) / 591

GCD(1, 591) = 591 / 591

GCD(1, 591) = 1

GCD of 38, 515, 676, 591 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 979, 143, 947
• GCD of 24, 723, 403, 468
• GCD of 26, 811, 629, 103
• GCD of 59, 488, 373, 167
• GCD of 22, 647, 972, 436

1. What is the GCD of 38, 515, 676, 591?

GCD of 38, 515, 676, 591 is 1

2. Where do I get the detailed procedure to find GCD of 38, 515, 676, 591?

You can find a detailed procedure to find GCD of 38, 515, 676, 591 on our page.

3. How to find GCD of 38, 515, 676, 591 on a calculator?

You can find the GCD of 38, 515, 676, 591 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.