GCD of 73, 49, 13, 71 Calculator

Given Input numbers are 73, 49, 13, 71

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

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 49

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

1, 7, 49

Divisors of 13

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

1, 13

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Greatest Common Divisior

We found the divisors of 73, 49, 13, 71 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 49, 13, 71 is 1.

Therefore, GCD of numbers 73, 49, 13, 71 is 1

Given Input Data is 73, 49, 13, 71

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

Prime Factorization of 73 is 73

Prime Factorization of 49 is 7 x 7

Prime Factorization of 13 is 13

Prime Factorization of 71 is 71

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(73, 49) = 3577

GCD(73, 49) = ( 73 x 49 ) / 3577

GCD(73, 49) = 3577 / 3577

GCD(73, 49) = 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 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

GCD of 73, 49, 13, 71 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 11, 52, 15, 56
• GCD of 58, 54, 65, 57
• GCD of 71, 94, 38, 41
• GCD of 36, 28, 60, 12
• GCD of 11, 73, 16, 51

1. What is the GCD of 73, 49, 13, 71?

GCD of 73, 49, 13, 71 is 1

2. Where do I get the detailed procedure to find GCD of 73, 49, 13, 71?

You can find a detailed procedure to find GCD of 73, 49, 13, 71 on our page.

3. How to find GCD of 73, 49, 13, 71 on a calculator?

You can find the GCD of 73, 49, 13, 71 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.