GCD of 449, 924, 715, 842 Calculator

Given Input numbers are 449, 924, 715, 842

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

Divisors of 449

List of positive integer divisors of 449 that divides 449 without a remainder.

1, 449

Divisors of 924

List of positive integer divisors of 924 that divides 924 without a remainder.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 715

List of positive integer divisors of 715 that divides 715 without a remainder.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Greatest Common Divisior

We found the divisors of 449, 924, 715, 842 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 449, 924, 715, 842 is 1.

Therefore, GCD of numbers 449, 924, 715, 842 is 1

Given Input Data is 449, 924, 715, 842

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

Prime Factorization of 449 is 449

Prime Factorization of 924 is 2 x 2 x 3 x 7 x 11

Prime Factorization of 715 is 5 x 11 x 13

Prime Factorization of 842 is 2 x 421

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(449, 924) = 414876

GCD(449, 924) = ( 449 x 924 ) / 414876

GCD(449, 924) = 414876 / 414876

GCD(449, 924) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 715

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

LCM(1, 715) = 715

GCD(1, 715) = ( 1 x 715 ) / 715

GCD(1, 715) = 715 / 715

GCD(1, 715) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 842

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

LCM(1, 842) = 842

GCD(1, 842) = ( 1 x 842 ) / 842

GCD(1, 842) = 842 / 842

GCD(1, 842) = 1

GCD of 449, 924, 715, 842 is 1

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1. What is the GCD of 449, 924, 715, 842?

GCD of 449, 924, 715, 842 is 1

2. Where do I get the detailed procedure to find GCD of 449, 924, 715, 842?

You can find a detailed procedure to find GCD of 449, 924, 715, 842 on our page.

3. How to find GCD of 449, 924, 715, 842 on a calculator?

You can find the GCD of 449, 924, 715, 842 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.