GCD of 423, 899, 828, 118 Calculator

Given Input numbers are 423, 899, 828, 118

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

Divisors of 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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 118

List of positive integer divisors of 118 that divides 118 without a remainder.

1, 2, 59, 118

Greatest Common Divisior

We found the divisors of 423, 899, 828, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 423, 899, 828, 118 is 1.

Therefore, GCD of numbers 423, 899, 828, 118 is 1

Given Input Data is 423, 899, 828, 118

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

Prime Factorization of 423 is 3 x 3 x 47

Prime Factorization of 899 is 29 x 31

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

Prime Factorization of 118 is 2 x 59

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(423, 899) = 380277

GCD(423, 899) = ( 423 x 899 ) / 380277

GCD(423, 899) = 380277 / 380277

GCD(423, 899) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 828

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

LCM(1, 828) = 828

GCD(1, 828) = ( 1 x 828 ) / 828

GCD(1, 828) = 828 / 828

GCD(1, 828) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 118

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

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

GCD(1, 118) = 118 / 118

GCD(1, 118) = 1

GCD of 423, 899, 828, 118 is 1

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1. What is the GCD of 423, 899, 828, 118?

GCD of 423, 899, 828, 118 is 1

2. Where do I get the detailed procedure to find GCD of 423, 899, 828, 118?

You can find a detailed procedure to find GCD of 423, 899, 828, 118 on our page.

3. How to find GCD of 423, 899, 828, 118 on a calculator?

You can find the GCD of 423, 899, 828, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.