GCD of 73, 61, 17, 14 Calculator

Given Input numbers are 73, 61, 17, 14

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 61

List of positive integer divisors of 61 that divides 61 without a remainder.

1, 61

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 14

List of positive integer divisors of 14 that divides 14 without a remainder.

1, 2, 7, 14

Greatest Common Divisior

We found the divisors of 73, 61, 17, 14 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 73, 61, 17, 14 is 1.

Therefore, GCD of numbers 73, 61, 17, 14 is 1

Given Input Data is 73, 61, 17, 14

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

Prime Factorization of 73 is 73

Prime Factorization of 61 is 61

Prime Factorization of 17 is 17

Prime Factorization of 14 is 2 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(73, 61) = 4453

GCD(73, 61) = ( 73 x 61 ) / 4453

GCD(73, 61) = 4453 / 4453

GCD(73, 61) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 14

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

LCM(1, 14) = 14

GCD(1, 14) = ( 1 x 14 ) / 14

GCD(1, 14) = 14 / 14

GCD(1, 14) = 1

GCD of 73, 61, 17, 14 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 43, 50, 53, 89
• GCD of 17, 72, 17, 31
• GCD of 38, 15, 43, 67
• GCD of 82, 70, 52, 38
• GCD of 99, 17, 96, 17

1. What is the GCD of 73, 61, 17, 14?

GCD of 73, 61, 17, 14 is 1

2. Where do I get the detailed procedure to find GCD of 73, 61, 17, 14?

You can find a detailed procedure to find GCD of 73, 61, 17, 14 on our page.

3. How to find GCD of 73, 61, 17, 14 on a calculator?

You can find the GCD of 73, 61, 17, 14 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.