GCD of 823, 429, 15, 272 Calculator

Given Input numbers are 823, 429, 15, 272

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

Divisors of 823

List of positive integer divisors of 823 that divides 823 without a remainder.

1, 823

Divisors of 429

List of positive integer divisors of 429 that divides 429 without a remainder.

1, 3, 11, 13, 33, 39, 143, 429

Divisors of 15

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

1, 3, 5, 15

Divisors of 272

List of positive integer divisors of 272 that divides 272 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Greatest Common Divisior

We found the divisors of 823, 429, 15, 272 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 823, 429, 15, 272 is 1.

Therefore, GCD of numbers 823, 429, 15, 272 is 1

Given Input Data is 823, 429, 15, 272

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

Prime Factorization of 823 is 823

Prime Factorization of 429 is 3 x 11 x 13

Prime Factorization of 15 is 3 x 5

Prime Factorization of 272 is 2 x 2 x 2 x 2 x 17

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(823, 429) = 353067

GCD(823, 429) = ( 823 x 429 ) / 353067

GCD(823, 429) = 353067 / 353067

GCD(823, 429) = 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 272

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

LCM(1, 272) = 272

GCD(1, 272) = ( 1 x 272 ) / 272

GCD(1, 272) = 272 / 272

GCD(1, 272) = 1

GCD of 823, 429, 15, 272 is 1

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• GCD of 472, 473, 38, 840
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1. What is the GCD of 823, 429, 15, 272?

GCD of 823, 429, 15, 272 is 1

2. Where do I get the detailed procedure to find GCD of 823, 429, 15, 272?

You can find a detailed procedure to find GCD of 823, 429, 15, 272 on our page.

3. How to find GCD of 823, 429, 15, 272 on a calculator?

You can find the GCD of 823, 429, 15, 272 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.