GCD of 682, 924, 800, 413 Calculator

Given Input numbers are 682, 924, 800, 413

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

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

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 800

List of positive integer divisors of 800 that divides 800 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 413

List of positive integer divisors of 413 that divides 413 without a remainder.

1, 7, 59, 413

Greatest Common Divisior

We found the divisors of 682, 924, 800, 413 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 924, 800, 413 is 1.

Therefore, GCD of numbers 682, 924, 800, 413 is 1

Given Input Data is 682, 924, 800, 413

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

Prime Factorization of 682 is 2 x 11 x 31

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

Prime Factorization of 800 is 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime Factorization of 413 is 7 x 59

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(682, 924) = 28644

GCD(682, 924) = ( 682 x 924 ) / 28644

GCD(682, 924) = 630168 / 28644

GCD(682, 924) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 800

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

LCM(22, 800) = 8800

GCD(22, 800) = ( 22 x 800 ) / 8800

GCD(22, 800) = 17600 / 8800

GCD(22, 800) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 413

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

LCM(2, 413) = 826

GCD(2, 413) = ( 2 x 413 ) / 826

GCD(2, 413) = 826 / 826

GCD(2, 413) = 1

GCD of 682, 924, 800, 413 is 1

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1. What is the GCD of 682, 924, 800, 413?

GCD of 682, 924, 800, 413 is 1

2. Where do I get the detailed procedure to find GCD of 682, 924, 800, 413?

You can find a detailed procedure to find GCD of 682, 924, 800, 413 on our page.

3. How to find GCD of 682, 924, 800, 413 on a calculator?

You can find the GCD of 682, 924, 800, 413 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.