GCD of 74, 72, 58, 41 Calculator

Given Input numbers are 74, 72, 58, 41

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

Divisors of 74

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

1, 2, 37, 74

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 58

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

1, 2, 29, 58

Divisors of 41

List of positive integer divisors of 41 that divides 41 without a remainder.

1, 41

Greatest Common Divisior

We found the divisors of 74, 72, 58, 41 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 74, 72, 58, 41 is 1.

Therefore, GCD of numbers 74, 72, 58, 41 is 1

Given Input Data is 74, 72, 58, 41

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

Prime Factorization of 74 is 2 x 37

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 58 is 2 x 29

Prime Factorization of 41 is 41

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(74, 72) = 2664

GCD(74, 72) = ( 74 x 72 ) / 2664

GCD(74, 72) = 5328 / 2664

GCD(74, 72) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 58

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

LCM(2, 58) = 58

GCD(2, 58) = ( 2 x 58 ) / 58

GCD(2, 58) = 116 / 58

GCD(2, 58) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 41

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

LCM(2, 41) = 82

GCD(2, 41) = ( 2 x 41 ) / 82

GCD(2, 41) = 82 / 82

GCD(2, 41) = 1

GCD of 74, 72, 58, 41 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 75, 14, 93, 23
• GCD of 54, 85, 71, 83
• GCD of 57, 77, 73, 70
• GCD of 24, 43, 46, 36
• GCD of 10, 18, 96, 75

1. What is the GCD of 74, 72, 58, 41?

GCD of 74, 72, 58, 41 is 1

2. Where do I get the detailed procedure to find GCD of 74, 72, 58, 41?

You can find a detailed procedure to find GCD of 74, 72, 58, 41 on our page.

3. How to find GCD of 74, 72, 58, 41 on a calculator?

You can find the GCD of 74, 72, 58, 41 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.