GCD of 800, 927, 59, 682 Calculator

Given Input numbers are 800, 927, 59, 682

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

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 927

List of positive integer divisors of 927 that divides 927 without a remainder.

1, 3, 9, 103, 309, 927

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 682

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

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

Greatest Common Divisior

We found the divisors of 800, 927, 59, 682 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 927, 59, 682 is 1.

Therefore, GCD of numbers 800, 927, 59, 682 is 1

Given Input Data is 800, 927, 59, 682

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

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

Prime Factorization of 927 is 3 x 3 x 103

Prime Factorization of 59 is 59

Prime Factorization of 682 is 2 x 11 x 31

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(800, 927) = 741600

GCD(800, 927) = ( 800 x 927 ) / 741600

GCD(800, 927) = 741600 / 741600

GCD(800, 927) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 682

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

LCM(1, 682) = 682

GCD(1, 682) = ( 1 x 682 ) / 682

GCD(1, 682) = 682 / 682

GCD(1, 682) = 1

GCD of 800, 927, 59, 682 is 1

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• GCD of 433, 785, 50, 149
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1. What is the GCD of 800, 927, 59, 682?

GCD of 800, 927, 59, 682 is 1

2. Where do I get the detailed procedure to find GCD of 800, 927, 59, 682?

You can find a detailed procedure to find GCD of 800, 927, 59, 682 on our page.

3. How to find GCD of 800, 927, 59, 682 on a calculator?

You can find the GCD of 800, 927, 59, 682 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.