GCD of 782, 432, 29, 732 Calculator

Given Input numbers are 782, 432, 29, 732

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 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 29

List of positive integer divisors of 29 that divides 29 without a remainder.

1, 29

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

Greatest Common Divisior

We found the divisors of 782, 432, 29, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 432, 29, 732 is 1.

Therefore, GCD of numbers 782, 432, 29, 732 is 1

Given Input Data is 782, 432, 29, 732

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 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 29 is 29

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

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, 432) = 168912

GCD(782, 432) = ( 782 x 432 ) / 168912

GCD(782, 432) = 337824 / 168912

GCD(782, 432) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 29

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

LCM(2, 29) = 58

GCD(2, 29) = ( 2 x 29 ) / 58

GCD(2, 29) = 58 / 58

GCD(2, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 732

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

LCM(1, 732) = 732

GCD(1, 732) = ( 1 x 732 ) / 732

GCD(1, 732) = 732 / 732

GCD(1, 732) = 1

GCD of 782, 432, 29, 732 is 1

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1. What is the GCD of 782, 432, 29, 732?

GCD of 782, 432, 29, 732 is 1

2. Where do I get the detailed procedure to find GCD of 782, 432, 29, 732?

You can find a detailed procedure to find GCD of 782, 432, 29, 732 on our page.

3. How to find GCD of 782, 432, 29, 732 on a calculator?

You can find the GCD of 782, 432, 29, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.