GCD of 71, 28, 83, 32 Calculator

Given Input numbers are 71, 28, 83, 32

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

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 28

List of positive integer divisors of 28 that divides 28 without a remainder.

1, 2, 4, 7, 14, 28

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 32

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

1, 2, 4, 8, 16, 32

Greatest Common Divisior

We found the divisors of 71, 28, 83, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 71, 28, 83, 32 is 1.

Therefore, GCD of numbers 71, 28, 83, 32 is 1

Given Input Data is 71, 28, 83, 32

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

Prime Factorization of 71 is 71

Prime Factorization of 28 is 2 x 2 x 7

Prime Factorization of 83 is 83

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

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(71, 28) = 1988

GCD(71, 28) = ( 71 x 28 ) / 1988

GCD(71, 28) = 1988 / 1988

GCD(71, 28) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 83

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

LCM(1, 83) = 83

GCD(1, 83) = ( 1 x 83 ) / 83

GCD(1, 83) = 83 / 83

GCD(1, 83) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 32

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

LCM(1, 32) = 32

GCD(1, 32) = ( 1 x 32 ) / 32

GCD(1, 32) = 32 / 32

GCD(1, 32) = 1

GCD of 71, 28, 83, 32 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 98, 57, 10, 11
• GCD of 82, 13, 27, 72
• GCD of 73, 33, 58, 11
• GCD of 58, 91, 70, 99
• GCD of 29, 35, 61, 30

1. What is the GCD of 71, 28, 83, 32?

GCD of 71, 28, 83, 32 is 1

2. Where do I get the detailed procedure to find GCD of 71, 28, 83, 32?

You can find a detailed procedure to find GCD of 71, 28, 83, 32 on our page.

3. How to find GCD of 71, 28, 83, 32 on a calculator?

You can find the GCD of 71, 28, 83, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.