GCD of 921, 816, 281, 782 Calculator

Given Input numbers are 921, 816, 281, 782

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

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Divisors of 816

List of positive integer divisors of 816 that divides 816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 68, 102, 136, 204, 272, 408, 816

Divisors of 281

List of positive integer divisors of 281 that divides 281 without a remainder.

1, 281

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Greatest Common Divisior

We found the divisors of 921, 816, 281, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 921, 816, 281, 782 is 1.

Therefore, GCD of numbers 921, 816, 281, 782 is 1

Given Input Data is 921, 816, 281, 782

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

Prime Factorization of 921 is 3 x 307

Prime Factorization of 816 is 2 x 2 x 2 x 2 x 3 x 17

Prime Factorization of 281 is 281

Prime Factorization of 782 is 2 x 17 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(921, 816) = 250512

GCD(921, 816) = ( 921 x 816 ) / 250512

GCD(921, 816) = 751536 / 250512

GCD(921, 816) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 281

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

LCM(3, 281) = 843

GCD(3, 281) = ( 3 x 281 ) / 843

GCD(3, 281) = 843 / 843

GCD(3, 281) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

GCD of 921, 816, 281, 782 is 1

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1. What is the GCD of 921, 816, 281, 782?

GCD of 921, 816, 281, 782 is 1

2. Where do I get the detailed procedure to find GCD of 921, 816, 281, 782?

You can find a detailed procedure to find GCD of 921, 816, 281, 782 on our page.

3. How to find GCD of 921, 816, 281, 782 on a calculator?

You can find the GCD of 921, 816, 281, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.