GCD of 11, 42, 13, 53 Calculator

Given Input numbers are 11, 42, 13, 53

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

Divisors of 11

List of positive integer divisors of 11 that divides 11 without a remainder.

1, 11

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 13

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

1, 13

Divisors of 53

List of positive integer divisors of 53 that divides 53 without a remainder.

1, 53

Greatest Common Divisior

We found the divisors of 11, 42, 13, 53 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 11, 42, 13, 53 is 1.

Therefore, GCD of numbers 11, 42, 13, 53 is 1

Given Input Data is 11, 42, 13, 53

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

Prime Factorization of 11 is 11

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 13 is 13

Prime Factorization of 53 is 53

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(11, 42) = 462

GCD(11, 42) = ( 11 x 42 ) / 462

GCD(11, 42) = 462 / 462

GCD(11, 42) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 53

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

LCM(1, 53) = 53

GCD(1, 53) = ( 1 x 53 ) / 53

GCD(1, 53) = 53 / 53

GCD(1, 53) = 1

GCD of 11, 42, 13, 53 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 74, 43, 35, 79
• GCD of 73, 32, 66, 10
• GCD of 42, 20, 19, 70
• GCD of 13, 23, 32, 61
• GCD of 45, 27, 92, 17

1. What is the GCD of 11, 42, 13, 53?

GCD of 11, 42, 13, 53 is 1

2. Where do I get the detailed procedure to find GCD of 11, 42, 13, 53?

You can find a detailed procedure to find GCD of 11, 42, 13, 53 on our page.

3. How to find GCD of 11, 42, 13, 53 on a calculator?

You can find the GCD of 11, 42, 13, 53 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.