GCD of 32, 42, 89, 56 Calculator

Given Input numbers are 32, 42, 89, 56

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 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 56

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

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

Greatest Common Divisior

We found the divisors of 32, 42, 89, 56 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 42, 89, 56 is 1.

Therefore, GCD of numbers 32, 42, 89, 56 is 1

Given Input Data is 32, 42, 89, 56

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 42 is 2 x 3 x 7

Prime Factorization of 89 is 89

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

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, 42) = 672

GCD(32, 42) = ( 32 x 42 ) / 672

GCD(32, 42) = 1344 / 672

GCD(32, 42) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 56

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

LCM(1, 56) = 56

GCD(1, 56) = ( 1 x 56 ) / 56

GCD(1, 56) = 56 / 56

GCD(1, 56) = 1

GCD of 32, 42, 89, 56 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 79, 10, 78, 58
• GCD of 72, 36, 74, 38
• GCD of 87, 88, 69, 98
• GCD of 59, 84, 56, 34
• GCD of 34, 92, 18, 77

1. What is the GCD of 32, 42, 89, 56?

GCD of 32, 42, 89, 56 is 1

2. Where do I get the detailed procedure to find GCD of 32, 42, 89, 56?

You can find a detailed procedure to find GCD of 32, 42, 89, 56 on our page.

3. How to find GCD of 32, 42, 89, 56 on a calculator?

You can find the GCD of 32, 42, 89, 56 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.