GCD of 32, 58, 38, 80 Calculator

Given Input numbers are 32, 58, 38, 80

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

Divisors of 32

List of positive integer divisors of 32 that divides 32 without a remainder.

1, 2, 4, 8, 16, 32

Divisors of 58

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

1, 2, 29, 58

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Greatest Common Divisior

We found the divisors of 32, 58, 38, 80 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 58, 38, 80 is 2.

Therefore, GCD of numbers 32, 58, 38, 80 is 2

Given Input Data is 32, 58, 38, 80

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

Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2

Prime Factorization of 58 is 2 x 29

Prime Factorization of 38 is 2 x 19

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

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(32, 58) = 928

GCD(32, 58) = ( 32 x 58 ) / 928

GCD(32, 58) = 1856 / 928

GCD(32, 58) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

GCD of 32, 58, 38, 80 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 38, 11, 31, 87
• GCD of 58, 98, 25, 32
• GCD of 17, 39, 91, 74
• GCD of 36, 94, 20, 85
• GCD of 49, 65, 17, 30

1. What is the GCD of 32, 58, 38, 80?

GCD of 32, 58, 38, 80 is 2

2. Where do I get the detailed procedure to find GCD of 32, 58, 38, 80?

You can find a detailed procedure to find GCD of 32, 58, 38, 80 on our page.

3. How to find GCD of 32, 58, 38, 80 on a calculator?

You can find the GCD of 32, 58, 38, 80 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.