GCD of 58, 19, 45, 33 Calculator

Given Input numbers are 58, 19, 45, 33

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

Divisors of 58

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

1, 2, 29, 58

Divisors of 19

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

1, 19

Divisors of 45

List of positive integer divisors of 45 that divides 45 without a remainder.

1, 3, 5, 9, 15, 45

Divisors of 33

List of positive integer divisors of 33 that divides 33 without a remainder.

1, 3, 11, 33

Greatest Common Divisior

We found the divisors of 58, 19, 45, 33 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 19, 45, 33 is 1.

Therefore, GCD of numbers 58, 19, 45, 33 is 1

Given Input Data is 58, 19, 45, 33

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 19 is 19

Prime Factorization of 45 is 3 x 3 x 5

Prime Factorization of 33 is 3 x 11

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(58, 19) = 1102

GCD(58, 19) = ( 58 x 19 ) / 1102

GCD(58, 19) = 1102 / 1102

GCD(58, 19) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 45

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

LCM(1, 45) = 45

GCD(1, 45) = ( 1 x 45 ) / 45

GCD(1, 45) = 45 / 45

GCD(1, 45) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 33

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

LCM(1, 33) = 33

GCD(1, 33) = ( 1 x 33 ) / 33

GCD(1, 33) = 33 / 33

GCD(1, 33) = 1

GCD of 58, 19, 45, 33 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 14, 76, 68, 61
• GCD of 18, 72, 23, 23
• GCD of 88, 50, 92, 66
• GCD of 38, 85, 59, 79
• GCD of 19, 20, 54, 63

1. What is the GCD of 58, 19, 45, 33?

GCD of 58, 19, 45, 33 is 1

2. Where do I get the detailed procedure to find GCD of 58, 19, 45, 33?

You can find a detailed procedure to find GCD of 58, 19, 45, 33 on our page.

3. How to find GCD of 58, 19, 45, 33 on a calculator?

You can find the GCD of 58, 19, 45, 33 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.