GCD of 58, 99, 84, 74 Calculator

Given Input numbers are 58, 99, 84, 74

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 99

List of positive integer divisors of 99 that divides 99 without a remainder.

1, 3, 9, 11, 33, 99

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 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Greatest Common Divisior

We found the divisors of 58, 99, 84, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 99, 84, 74 is 1.

Therefore, GCD of numbers 58, 99, 84, 74 is 1

Given Input Data is 58, 99, 84, 74

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 99 is 3 x 3 x 11

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

Prime Factorization of 74 is 2 x 37

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, 99) = 5742

GCD(58, 99) = ( 58 x 99 ) / 5742

GCD(58, 99) = 5742 / 5742

GCD(58, 99) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 84

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

LCM(1, 84) = 84

GCD(1, 84) = ( 1 x 84 ) / 84

GCD(1, 84) = 84 / 84

GCD(1, 84) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 74

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

LCM(1, 74) = 74

GCD(1, 74) = ( 1 x 74 ) / 74

GCD(1, 74) = 74 / 74

GCD(1, 74) = 1

GCD of 58, 99, 84, 74 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 52, 30, 68
• GCD of 25, 17, 74, 98
• GCD of 79, 65, 54, 97
• GCD of 67, 60, 72, 43
• GCD of 10, 40, 54, 76

1. What is the GCD of 58, 99, 84, 74?

GCD of 58, 99, 84, 74 is 1

2. Where do I get the detailed procedure to find GCD of 58, 99, 84, 74?

You can find a detailed procedure to find GCD of 58, 99, 84, 74 on our page.

3. How to find GCD of 58, 99, 84, 74 on a calculator?

You can find the GCD of 58, 99, 84, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.