GCD of 58, 68, 74, 85 Calculator

Given Input numbers are 58, 68, 74, 85

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 68

List of positive integer divisors of 68 that divides 68 without a remainder.

1, 2, 4, 17, 34, 68

Divisors of 74

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

1, 2, 37, 74

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Greatest Common Divisior

We found the divisors of 58, 68, 74, 85 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 68, 74, 85 is 1.

Therefore, GCD of numbers 58, 68, 74, 85 is 1

Given Input Data is 58, 68, 74, 85

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 68 is 2 x 2 x 17

Prime Factorization of 74 is 2 x 37

Prime Factorization of 85 is 5 x 17

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, 68) = 1972

GCD(58, 68) = ( 58 x 68 ) / 1972

GCD(58, 68) = 3944 / 1972

GCD(58, 68) = 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

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 85

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

LCM(2, 85) = 170

GCD(2, 85) = ( 2 x 85 ) / 170

GCD(2, 85) = 170 / 170

GCD(2, 85) = 1

GCD of 58, 68, 74, 85 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 97, 48, 88, 70
• GCD of 90, 90, 75, 95
• GCD of 32, 79, 14, 75
• GCD of 30, 32, 27, 63
• GCD of 62, 98, 46, 39

1. What is the GCD of 58, 68, 74, 85?

GCD of 58, 68, 74, 85 is 1

2. Where do I get the detailed procedure to find GCD of 58, 68, 74, 85?

You can find a detailed procedure to find GCD of 58, 68, 74, 85 on our page.

3. How to find GCD of 58, 68, 74, 85 on a calculator?

You can find the GCD of 58, 68, 74, 85 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.