GCD of 38, 420, 913, 493 Calculator

Given Input numbers are 38, 420, 913, 493

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 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Greatest Common Divisior

We found the divisors of 38, 420, 913, 493 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 420, 913, 493 is 1.

Therefore, GCD of numbers 38, 420, 913, 493 is 1

Given Input Data is 38, 420, 913, 493

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 913 is 11 x 83

Prime Factorization of 493 is 17 x 29

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, 420) = 7980

GCD(38, 420) = ( 38 x 420 ) / 7980

GCD(38, 420) = 15960 / 7980

GCD(38, 420) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 913

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

LCM(2, 913) = 1826

GCD(2, 913) = ( 2 x 913 ) / 1826

GCD(2, 913) = 1826 / 1826

GCD(2, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 493

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

LCM(1, 493) = 493

GCD(1, 493) = ( 1 x 493 ) / 493

GCD(1, 493) = 493 / 493

GCD(1, 493) = 1

GCD of 38, 420, 913, 493 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 591, 758, 387
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• GCD of 33, 151, 719, 328
• GCD of 79, 159, 358, 224
• GCD of 81, 832, 156, 520

1. What is the GCD of 38, 420, 913, 493?

GCD of 38, 420, 913, 493 is 1

2. Where do I get the detailed procedure to find GCD of 38, 420, 913, 493?

You can find a detailed procedure to find GCD of 38, 420, 913, 493 on our page.

3. How to find GCD of 38, 420, 913, 493 on a calculator?

You can find the GCD of 38, 420, 913, 493 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.