GCD of 32, 814, 732, 191 Calculator

Given Input numbers are 32, 814, 732, 191

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 814

List of positive integer divisors of 814 that divides 814 without a remainder.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Greatest Common Divisior

We found the divisors of 32, 814, 732, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 32, 814, 732, 191 is 1.

Therefore, GCD of numbers 32, 814, 732, 191 is 1

Given Input Data is 32, 814, 732, 191

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 814 is 2 x 11 x 37

Prime Factorization of 732 is 2 x 2 x 3 x 61

Prime Factorization of 191 is 191

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, 814) = 13024

GCD(32, 814) = ( 32 x 814 ) / 13024

GCD(32, 814) = 26048 / 13024

GCD(32, 814) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

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

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 191

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

LCM(2, 191) = 382

GCD(2, 191) = ( 2 x 191 ) / 382

GCD(2, 191) = 382 / 382

GCD(2, 191) = 1

GCD of 32, 814, 732, 191 is 1

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1. What is the GCD of 32, 814, 732, 191?

GCD of 32, 814, 732, 191 is 1

2. Where do I get the detailed procedure to find GCD of 32, 814, 732, 191?

You can find a detailed procedure to find GCD of 32, 814, 732, 191 on our page.

3. How to find GCD of 32, 814, 732, 191 on a calculator?

You can find the GCD of 32, 814, 732, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.