GCD of 37, 382, 508, 306 Calculator

Given Input numbers are 37, 382, 508, 306

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

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 382

List of positive integer divisors of 382 that divides 382 without a remainder.

1, 2, 191, 382

Divisors of 508

List of positive integer divisors of 508 that divides 508 without a remainder.

1, 2, 4, 127, 254, 508

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Greatest Common Divisior

We found the divisors of 37, 382, 508, 306 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 382, 508, 306 is 1.

Therefore, GCD of numbers 37, 382, 508, 306 is 1

Given Input Data is 37, 382, 508, 306

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

Prime Factorization of 37 is 37

Prime Factorization of 382 is 2 x 191

Prime Factorization of 508 is 2 x 2 x 127

Prime Factorization of 306 is 2 x 3 x 3 x 17

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(37, 382) = 14134

GCD(37, 382) = ( 37 x 382 ) / 14134

GCD(37, 382) = 14134 / 14134

GCD(37, 382) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 508

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

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

GCD(1, 508) = 508 / 508

GCD(1, 508) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 306

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

LCM(1, 306) = 306

GCD(1, 306) = ( 1 x 306 ) / 306

GCD(1, 306) = 306 / 306

GCD(1, 306) = 1

GCD of 37, 382, 508, 306 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 10, 221, 145, 407
• GCD of 78, 567, 475, 224
• GCD of 50, 403, 830, 968
• GCD of 27, 531, 756, 440
• GCD of 73, 844, 578, 323

1. What is the GCD of 37, 382, 508, 306?

GCD of 37, 382, 508, 306 is 1

2. Where do I get the detailed procedure to find GCD of 37, 382, 508, 306?

You can find a detailed procedure to find GCD of 37, 382, 508, 306 on our page.

3. How to find GCD of 37, 382, 508, 306 on a calculator?

You can find the GCD of 37, 382, 508, 306 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.