GCD of 267, 744, 15, 821 Calculator

Given Input numbers are 267, 744, 15, 821

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

Divisors of 267

List of positive integer divisors of 267 that divides 267 without a remainder.

1, 3, 89, 267

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Divisors of 15

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

1, 3, 5, 15

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Greatest Common Divisior

We found the divisors of 267, 744, 15, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 744, 15, 821 is 1.

Therefore, GCD of numbers 267, 744, 15, 821 is 1

Given Input Data is 267, 744, 15, 821

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

Prime Factorization of 267 is 3 x 89

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

Prime Factorization of 15 is 3 x 5

Prime Factorization of 821 is 821

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(267, 744) = 66216

GCD(267, 744) = ( 267 x 744 ) / 66216

GCD(267, 744) = 198648 / 66216

GCD(267, 744) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 15

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

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

GCD(3, 15) = 45 / 15

GCD(3, 15) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 821

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

LCM(3, 821) = 2463

GCD(3, 821) = ( 3 x 821 ) / 2463

GCD(3, 821) = 2463 / 2463

GCD(3, 821) = 1

GCD of 267, 744, 15, 821 is 1

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1. What is the GCD of 267, 744, 15, 821?

GCD of 267, 744, 15, 821 is 1

2. Where do I get the detailed procedure to find GCD of 267, 744, 15, 821?

You can find a detailed procedure to find GCD of 267, 744, 15, 821 on our page.

3. How to find GCD of 267, 744, 15, 821 on a calculator?

You can find the GCD of 267, 744, 15, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.