GCD of 782, 852, 32, 683 Calculator

Given Input numbers are 782, 852, 32, 683

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

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 32

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

1, 2, 4, 8, 16, 32

Divisors of 683

List of positive integer divisors of 683 that divides 683 without a remainder.

1, 683

Greatest Common Divisior

We found the divisors of 782, 852, 32, 683 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 852, 32, 683 is 1.

Therefore, GCD of numbers 782, 852, 32, 683 is 1

Given Input Data is 782, 852, 32, 683

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 852 is 2 x 2 x 3 x 71

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

Prime Factorization of 683 is 683

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(782, 852) = 333132

GCD(782, 852) = ( 782 x 852 ) / 333132

GCD(782, 852) = 666264 / 333132

GCD(782, 852) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 32

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

LCM(2, 32) = 32

GCD(2, 32) = ( 2 x 32 ) / 32

GCD(2, 32) = 64 / 32

GCD(2, 32) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 683

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

LCM(2, 683) = 1366

GCD(2, 683) = ( 2 x 683 ) / 1366

GCD(2, 683) = 1366 / 1366

GCD(2, 683) = 1

GCD of 782, 852, 32, 683 is 1

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1. What is the GCD of 782, 852, 32, 683?

GCD of 782, 852, 32, 683 is 1

2. Where do I get the detailed procedure to find GCD of 782, 852, 32, 683?

You can find a detailed procedure to find GCD of 782, 852, 32, 683 on our page.

3. How to find GCD of 782, 852, 32, 683 on a calculator?

You can find the GCD of 782, 852, 32, 683 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.