GCD of 58, 12, 77, 37 Calculator

Given Input numbers are 58, 12, 77, 37

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 12

List of positive integer divisors of 12 that divides 12 without a remainder.

1, 2, 3, 4, 6, 12

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Greatest Common Divisior

We found the divisors of 58, 12, 77, 37 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 12, 77, 37 is 1.

Therefore, GCD of numbers 58, 12, 77, 37 is 1

Given Input Data is 58, 12, 77, 37

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 12 is 2 x 2 x 3

Prime Factorization of 77 is 7 x 11

Prime Factorization of 37 is 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, 12) = 348

GCD(58, 12) = ( 58 x 12 ) / 348

GCD(58, 12) = 696 / 348

GCD(58, 12) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 37

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

LCM(1, 37) = 37

GCD(1, 37) = ( 1 x 37 ) / 37

GCD(1, 37) = 37 / 37

GCD(1, 37) = 1

GCD of 58, 12, 77, 37 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 28, 60, 14
• GCD of 81, 33, 78, 24
• GCD of 79, 53, 38, 60
• GCD of 61, 24, 65, 51
• GCD of 26, 53, 98, 58

1. What is the GCD of 58, 12, 77, 37?

GCD of 58, 12, 77, 37 is 1

2. Where do I get the detailed procedure to find GCD of 58, 12, 77, 37?

You can find a detailed procedure to find GCD of 58, 12, 77, 37 on our page.

3. How to find GCD of 58, 12, 77, 37 on a calculator?

You can find the GCD of 58, 12, 77, 37 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.