GCD of 828, 237, 899, 138 Calculator

Given Input numbers are 828, 237, 899, 138

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 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 899

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

1, 29, 31, 899

Divisors of 138

List of positive integer divisors of 138 that divides 138 without a remainder.

1, 2, 3, 6, 23, 46, 69, 138

Greatest Common Divisior

We found the divisors of 828, 237, 899, 138 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 237, 899, 138 is 1.

Therefore, GCD of numbers 828, 237, 899, 138 is 1

Given Input Data is 828, 237, 899, 138

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 237 is 3 x 79

Prime Factorization of 899 is 29 x 31

Prime Factorization of 138 is 2 x 3 x 23

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, 237) = 65412

GCD(828, 237) = ( 828 x 237 ) / 65412

GCD(828, 237) = 196236 / 65412

GCD(828, 237) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 899

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

LCM(3, 899) = 2697

GCD(3, 899) = ( 3 x 899 ) / 2697

GCD(3, 899) = 2697 / 2697

GCD(3, 899) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 138

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

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

GCD(1, 138) = 138 / 138

GCD(1, 138) = 1

GCD of 828, 237, 899, 138 is 1

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1. What is the GCD of 828, 237, 899, 138?

GCD of 828, 237, 899, 138 is 1

2. Where do I get the detailed procedure to find GCD of 828, 237, 899, 138?

You can find a detailed procedure to find GCD of 828, 237, 899, 138 on our page.

3. How to find GCD of 828, 237, 899, 138 on a calculator?

You can find the GCD of 828, 237, 899, 138 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.