GCD of 57, 84, 19, 58 Calculator

Given Input numbers are 57, 84, 19, 58

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Greatest Common Divisior

We found the divisors of 57, 84, 19, 58 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 84, 19, 58 is 1.

Therefore, GCD of numbers 57, 84, 19, 58 is 1

Given Input Data is 57, 84, 19, 58

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 19 is 19

Prime Factorization of 58 is 2 x 29

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(57, 84) = 1596

GCD(57, 84) = ( 57 x 84 ) / 1596

GCD(57, 84) = 4788 / 1596

GCD(57, 84) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 19

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

LCM(3, 19) = 57

GCD(3, 19) = ( 3 x 19 ) / 57

GCD(3, 19) = 57 / 57

GCD(3, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 58

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

LCM(1, 58) = 58

GCD(1, 58) = ( 1 x 58 ) / 58

GCD(1, 58) = 58 / 58

GCD(1, 58) = 1

GCD of 57, 84, 19, 58 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 21, 25, 58, 20
• GCD of 89, 90, 40, 39
• GCD of 40, 93, 14, 10
• GCD of 69, 90, 32, 99
• GCD of 14, 72, 20, 15

1. What is the GCD of 57, 84, 19, 58?

GCD of 57, 84, 19, 58 is 1

2. Where do I get the detailed procedure to find GCD of 57, 84, 19, 58?

You can find a detailed procedure to find GCD of 57, 84, 19, 58 on our page.

3. How to find GCD of 57, 84, 19, 58 on a calculator?

You can find the GCD of 57, 84, 19, 58 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.