GCD of 828, 436, 29, 864 Calculator

Given Input numbers are 828, 436, 29, 864

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

Divisors of 828

List of positive integer divisors of 828 that divides 828 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 29

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

1, 29

Divisors of 864

List of positive integer divisors of 864 that divides 864 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Greatest Common Divisior

We found the divisors of 828, 436, 29, 864 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 436, 29, 864 is 1.

Therefore, GCD of numbers 828, 436, 29, 864 is 1

Given Input Data is 828, 436, 29, 864

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

Prime Factorization of 828 is 2 x 2 x 3 x 3 x 23

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 29 is 29

Prime Factorization of 864 is 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

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(828, 436) = 90252

GCD(828, 436) = ( 828 x 436 ) / 90252

GCD(828, 436) = 361008 / 90252

GCD(828, 436) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 29

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

LCM(4, 29) = 116

GCD(4, 29) = ( 4 x 29 ) / 116

GCD(4, 29) = 116 / 116

GCD(4, 29) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 864

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

LCM(1, 864) = 864

GCD(1, 864) = ( 1 x 864 ) / 864

GCD(1, 864) = 864 / 864

GCD(1, 864) = 1

GCD of 828, 436, 29, 864 is 1

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1. What is the GCD of 828, 436, 29, 864?

GCD of 828, 436, 29, 864 is 1

2. Where do I get the detailed procedure to find GCD of 828, 436, 29, 864?

You can find a detailed procedure to find GCD of 828, 436, 29, 864 on our page.

3. How to find GCD of 828, 436, 29, 864 on a calculator?

You can find the GCD of 828, 436, 29, 864 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.