GCD of 828, 167, 15, 231 Calculator

Given Input numbers are 828, 167, 15, 231

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 167

List of positive integer divisors of 167 that divides 167 without a remainder.

1, 167

Divisors of 15

List of positive integer divisors of 15 that divides 15 without a remainder.

1, 3, 5, 15

Divisors of 231

List of positive integer divisors of 231 that divides 231 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231

Greatest Common Divisior

We found the divisors of 828, 167, 15, 231 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 828, 167, 15, 231 is 1.

Therefore, GCD of numbers 828, 167, 15, 231 is 1

Given Input Data is 828, 167, 15, 231

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 167 is 167

Prime Factorization of 15 is 3 x 5

Prime Factorization of 231 is 3 x 7 x 11

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, 167) = 138276

GCD(828, 167) = ( 828 x 167 ) / 138276

GCD(828, 167) = 138276 / 138276

GCD(828, 167) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 15

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

LCM(1, 15) = 15

GCD(1, 15) = ( 1 x 15 ) / 15

GCD(1, 15) = 15 / 15

GCD(1, 15) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 231

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

LCM(1, 231) = 231

GCD(1, 231) = ( 1 x 231 ) / 231

GCD(1, 231) = 231 / 231

GCD(1, 231) = 1

GCD of 828, 167, 15, 231 is 1

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1. What is the GCD of 828, 167, 15, 231?

GCD of 828, 167, 15, 231 is 1

2. Where do I get the detailed procedure to find GCD of 828, 167, 15, 231?

You can find a detailed procedure to find GCD of 828, 167, 15, 231 on our page.

3. How to find GCD of 828, 167, 15, 231 on a calculator?

You can find the GCD of 828, 167, 15, 231 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.