GCD of 51, 87, 17, 38 Calculator

Given Input numbers are 51, 87, 17, 38

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

Divisors of 51

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

1, 3, 17, 51

Divisors of 87

List of positive integer divisors of 87 that divides 87 without a remainder.

1, 3, 29, 87

Divisors of 17

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

1, 17

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Greatest Common Divisior

We found the divisors of 51, 87, 17, 38 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 51, 87, 17, 38 is 1.

Therefore, GCD of numbers 51, 87, 17, 38 is 1

Given Input Data is 51, 87, 17, 38

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

Prime Factorization of 51 is 3 x 17

Prime Factorization of 87 is 3 x 29

Prime Factorization of 17 is 17

Prime Factorization of 38 is 2 x 19

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(51, 87) = 1479

GCD(51, 87) = ( 51 x 87 ) / 1479

GCD(51, 87) = 4437 / 1479

GCD(51, 87) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

GCD of 51, 87, 17, 38 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 68, 94, 68, 42
• GCD of 61, 33, 42, 52
• GCD of 90, 61, 90, 25
• GCD of 13, 66, 25, 58
• GCD of 82, 30, 30, 19

1. What is the GCD of 51, 87, 17, 38?

GCD of 51, 87, 17, 38 is 1

2. Where do I get the detailed procedure to find GCD of 51, 87, 17, 38?

You can find a detailed procedure to find GCD of 51, 87, 17, 38 on our page.

3. How to find GCD of 51, 87, 17, 38 on a calculator?

You can find the GCD of 51, 87, 17, 38 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.