GCD of 58, 42, 74 Calculator

Given Input numbers are 58, 42, 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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

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, 42, 74 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 42, 74 is 2.

Therefore, GCD of numbers 58, 42, 74 is 2

Given Input Data is 58, 42, 74

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 74 is 2 x 37

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 42) = 1218

GCD(58, 42) = ( 58 x 42 ) / 1218

GCD(58, 42) = 2436 / 1218

GCD(58, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 74

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

LCM(2, 74) = 74

GCD(2, 74) = ( 2 x 74 ) / 74

GCD(2, 74) = 148 / 74

GCD(2, 74) = 2

GCD of 58, 42, 74 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 76, 45, 84
• GCD of 83, 94, 13
• GCD of 98, 91, 85
• GCD of 57, 97, 18
• GCD of 89, 86, 73

1. What is the GCD of 58, 42, 74?

GCD of 58, 42, 74 is 2

2. Where do I get the detailed procedure to find GCD of 58, 42, 74?

You can find a detailed procedure to find GCD of 58, 42, 74 on our page.

3. How to find GCD of 58, 42, 74 on a calculator?

You can find the GCD of 58, 42, 74 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.