GCD of 137, 409, 19, 944 Calculator

Given Input numbers are 137, 409, 19, 944

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

Divisors of 137

List of positive integer divisors of 137 that divides 137 without a remainder.

1, 137

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 944

List of positive integer divisors of 944 that divides 944 without a remainder.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

Greatest Common Divisior

We found the divisors of 137, 409, 19, 944 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 137, 409, 19, 944 is 1.

Therefore, GCD of numbers 137, 409, 19, 944 is 1

Given Input Data is 137, 409, 19, 944

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

Prime Factorization of 137 is 137

Prime Factorization of 409 is 409

Prime Factorization of 19 is 19

Prime Factorization of 944 is 2 x 2 x 2 x 2 x 59

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(137, 409) = 56033

GCD(137, 409) = ( 137 x 409 ) / 56033

GCD(137, 409) = 56033 / 56033

GCD(137, 409) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 19

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

LCM(1, 19) = 19

GCD(1, 19) = ( 1 x 19 ) / 19

GCD(1, 19) = 19 / 19

GCD(1, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 944

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

LCM(1, 944) = 944

GCD(1, 944) = ( 1 x 944 ) / 944

GCD(1, 944) = 944 / 944

GCD(1, 944) = 1

GCD of 137, 409, 19, 944 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 855, 59, 628
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• GCD of 795, 604, 91, 627
• GCD of 998, 763, 15, 155

1. What is the GCD of 137, 409, 19, 944?

GCD of 137, 409, 19, 944 is 1

2. Where do I get the detailed procedure to find GCD of 137, 409, 19, 944?

You can find a detailed procedure to find GCD of 137, 409, 19, 944 on our page.

3. How to find GCD of 137, 409, 19, 944 on a calculator?

You can find the GCD of 137, 409, 19, 944 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.