GCD of 37, 106, 813, 427 Calculator

Given Input numbers are 37, 106, 813, 427

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 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 813

List of positive integer divisors of 813 that divides 813 without a remainder.

1, 3, 271, 813

Divisors of 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Greatest Common Divisior

We found the divisors of 37, 106, 813, 427 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 37, 106, 813, 427 is 1.

Therefore, GCD of numbers 37, 106, 813, 427 is 1

Given Input Data is 37, 106, 813, 427

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

Prime Factorization of 37 is 37

Prime Factorization of 106 is 2 x 53

Prime Factorization of 813 is 3 x 271

Prime Factorization of 427 is 7 x 61

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, 106) = 3922

GCD(37, 106) = ( 37 x 106 ) / 3922

GCD(37, 106) = 3922 / 3922

GCD(37, 106) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 813

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

LCM(1, 813) = 813

GCD(1, 813) = ( 1 x 813 ) / 813

GCD(1, 813) = 813 / 813

GCD(1, 813) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 427

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

LCM(1, 427) = 427

GCD(1, 427) = ( 1 x 427 ) / 427

GCD(1, 427) = 427 / 427

GCD(1, 427) = 1

GCD of 37, 106, 813, 427 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 36, 203, 883, 521
• GCD of 98, 256, 591, 271
• GCD of 89, 571, 467, 418
• GCD of 25, 352, 149, 330
• GCD of 59, 328, 597, 538

1. What is the GCD of 37, 106, 813, 427?

GCD of 37, 106, 813, 427 is 1

2. Where do I get the detailed procedure to find GCD of 37, 106, 813, 427?

You can find a detailed procedure to find GCD of 37, 106, 813, 427 on our page.

3. How to find GCD of 37, 106, 813, 427 on a calculator?

You can find the GCD of 37, 106, 813, 427 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.