GCD of 13, 51, 59, 49 Calculator

Given Input numbers are 13, 51, 59, 49

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 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 49

List of positive integer divisors of 49 that divides 49 without a remainder.

1, 7, 49

Greatest Common Divisior

We found the divisors of 13, 51, 59, 49 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 13, 51, 59, 49 is 1.

Therefore, GCD of numbers 13, 51, 59, 49 is 1

Given Input Data is 13, 51, 59, 49

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

Prime Factorization of 13 is 13

Prime Factorization of 51 is 3 x 17

Prime Factorization of 59 is 59

Prime Factorization of 49 is 7 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, 51) = 663

GCD(13, 51) = ( 13 x 51 ) / 663

GCD(13, 51) = 663 / 663

GCD(13, 51) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 49

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

LCM(1, 49) = 49

GCD(1, 49) = ( 1 x 49 ) / 49

GCD(1, 49) = 49 / 49

GCD(1, 49) = 1

GCD of 13, 51, 59, 49 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 53, 31, 79, 37
• GCD of 93, 34, 88, 84
• GCD of 48, 34, 11, 31
• GCD of 21, 31, 24, 22
• GCD of 29, 71, 15, 69

1. What is the GCD of 13, 51, 59, 49?

GCD of 13, 51, 59, 49 is 1

2. Where do I get the detailed procedure to find GCD of 13, 51, 59, 49?

You can find a detailed procedure to find GCD of 13, 51, 59, 49 on our page.

3. How to find GCD of 13, 51, 59, 49 on a calculator?

You can find the GCD of 13, 51, 59, 49 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.