GCD of 32, 74, 57, 82 Calculator

Given Input numbers are 32, 74, 57, 82

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 74

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

1, 2, 37, 74

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Greatest Common Divisior

We found the divisors of 32, 74, 57, 82 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 74, 57, 82 is 1.

Therefore, GCD of numbers 32, 74, 57, 82 is 1

Given Input Data is 32, 74, 57, 82

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 74 is 2 x 37

Prime Factorization of 57 is 3 x 19

Prime Factorization of 82 is 2 x 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(32, 74) = 1184

GCD(32, 74) = ( 32 x 74 ) / 1184

GCD(32, 74) = 2368 / 1184

GCD(32, 74) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 57

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

LCM(2, 57) = 114

GCD(2, 57) = ( 2 x 57 ) / 114

GCD(2, 57) = 114 / 114

GCD(2, 57) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

GCD of 32, 74, 57, 82 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 60, 60, 19, 38
• GCD of 10, 95, 58, 51
• GCD of 62, 88, 19, 55
• GCD of 84, 26, 57, 49
• GCD of 40, 20, 85, 43

1. What is the GCD of 32, 74, 57, 82?

GCD of 32, 74, 57, 82 is 1

2. Where do I get the detailed procedure to find GCD of 32, 74, 57, 82?

You can find a detailed procedure to find GCD of 32, 74, 57, 82 on our page.

3. How to find GCD of 32, 74, 57, 82 on a calculator?

You can find the GCD of 32, 74, 57, 82 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.