GCD of 13, 46, 19, 21 Calculator

Given Input numbers are 13, 46, 19, 21

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 46

List of positive integer divisors of 46 that divides 46 without a remainder.

1, 2, 23, 46

Divisors of 19

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

1, 19

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Greatest Common Divisior

We found the divisors of 13, 46, 19, 21 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 46, 19, 21 is 1.

Therefore, GCD of numbers 13, 46, 19, 21 is 1

Given Input Data is 13, 46, 19, 21

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

Prime Factorization of 13 is 13

Prime Factorization of 46 is 2 x 23

Prime Factorization of 19 is 19

Prime Factorization of 21 is 3 x 7

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(13, 46) = 598

GCD(13, 46) = ( 13 x 46 ) / 598

GCD(13, 46) = 598 / 598

GCD(13, 46) = 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 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

GCD of 13, 46, 19, 21 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 80, 45, 87, 70
• GCD of 60, 96, 83, 71
• GCD of 69, 40, 97, 62
• GCD of 75, 98, 72, 81
• GCD of 64, 87, 86, 22

1. What is the GCD of 13, 46, 19, 21?

GCD of 13, 46, 19, 21 is 1

2. Where do I get the detailed procedure to find GCD of 13, 46, 19, 21?

You can find a detailed procedure to find GCD of 13, 46, 19, 21 on our page.

3. How to find GCD of 13, 46, 19, 21 on a calculator?

You can find the GCD of 13, 46, 19, 21 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.