GCD of 782, 200, 827 Calculator

Given Input numbers are 782, 200, 827

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

Divisors of 782

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

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

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 782, 200, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 782, 200, 827 is 1.

Therefore, GCD of numbers 782, 200, 827 is 1

Given Input Data is 782, 200, 827

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

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5

Prime Factorization of 827 is 827

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(782, 200) = 78200

GCD(782, 200) = ( 782 x 200 ) / 78200

GCD(782, 200) = 156400 / 78200

GCD(782, 200) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 827

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

LCM(2, 827) = 1654

GCD(2, 827) = ( 2 x 827 ) / 1654

GCD(2, 827) = 1654 / 1654

GCD(2, 827) = 1

GCD of 782, 200, 827 is 1

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• GCD of 283, 716, 275
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1. What is the GCD of 782, 200, 827?

GCD of 782, 200, 827 is 1

2. Where do I get the detailed procedure to find GCD of 782, 200, 827?

You can find a detailed procedure to find GCD of 782, 200, 827 on our page.

3. How to find GCD of 782, 200, 827 on a calculator?

You can find the GCD of 782, 200, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.