GCD of 100, 828, 243, 852 Calculator

Given Input numbers are 100, 828, 243, 852

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

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

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 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

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

Greatest Common Divisior

We found the divisors of 100, 828, 243, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 100, 828, 243, 852 is 1.

Therefore, GCD of numbers 100, 828, 243, 852 is 1

Given Input Data is 100, 828, 243, 852

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

Prime Factorization of 100 is 2 x 2 x 5 x 5

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

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

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(100, 828) = 20700

GCD(100, 828) = ( 100 x 828 ) / 20700

GCD(100, 828) = 82800 / 20700

GCD(100, 828) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 243

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

LCM(4, 243) = 972

GCD(4, 243) = ( 4 x 243 ) / 972

GCD(4, 243) = 972 / 972

GCD(4, 243) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 100, 828, 243, 852 is 1

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1. What is the GCD of 100, 828, 243, 852?

GCD of 100, 828, 243, 852 is 1

2. Where do I get the detailed procedure to find GCD of 100, 828, 243, 852?

You can find a detailed procedure to find GCD of 100, 828, 243, 852 on our page.

3. How to find GCD of 100, 828, 243, 852 on a calculator?

You can find the GCD of 100, 828, 243, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.