GCD of 56, 85, 71, 32 Calculator

Given Input numbers are 56, 85, 71, 32

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

Divisors of 56

List of positive integer divisors of 56 that divides 56 without a remainder.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 85

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

1, 5, 17, 85

Divisors of 71

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

1, 71

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 56, 85, 71, 32 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 56, 85, 71, 32 is 1.

Therefore, GCD of numbers 56, 85, 71, 32 is 1

Given Input Data is 56, 85, 71, 32

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

Prime Factorization of 56 is 2 x 2 x 2 x 7

Prime Factorization of 85 is 5 x 17

Prime Factorization of 71 is 71

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(56, 85) = 4760

GCD(56, 85) = ( 56 x 85 ) / 4760

GCD(56, 85) = 4760 / 4760

GCD(56, 85) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 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 56, 85, 71, 32 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 57, 57, 53, 46
• GCD of 30, 38, 61, 14
• GCD of 35, 58, 19, 30
• GCD of 33, 33, 18, 43
• GCD of 27, 23, 16, 90

1. What is the GCD of 56, 85, 71, 32?

GCD of 56, 85, 71, 32 is 1

2. Where do I get the detailed procedure to find GCD of 56, 85, 71, 32?

You can find a detailed procedure to find GCD of 56, 85, 71, 32 on our page.

3. How to find GCD of 56, 85, 71, 32 on a calculator?

You can find the GCD of 56, 85, 71, 32 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.