GCD of 50, 255, 366, 782 Calculator

Given Input numbers are 50, 255, 366, 782

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

Divisors of 50

List of positive integer divisors of 50 that divides 50 without a remainder.

1, 2, 5, 10, 25, 50

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Divisors of 366

List of positive integer divisors of 366 that divides 366 without a remainder.

1, 2, 3, 6, 61, 122, 183, 366

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 50, 255, 366, 782 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 50, 255, 366, 782 is 1.

Therefore, GCD of numbers 50, 255, 366, 782 is 1

Given Input Data is 50, 255, 366, 782

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

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 255 is 3 x 5 x 17

Prime Factorization of 366 is 2 x 3 x 61

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(50, 255) = 2550

GCD(50, 255) = ( 50 x 255 ) / 2550

GCD(50, 255) = 12750 / 2550

GCD(50, 255) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 366

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

LCM(5, 366) = 1830

GCD(5, 366) = ( 5 x 366 ) / 1830

GCD(5, 366) = 1830 / 1830

GCD(5, 366) = 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 50, 255, 366, 782 is 1

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• GCD of 87, 963, 330, 146
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1. What is the GCD of 50, 255, 366, 782?

GCD of 50, 255, 366, 782 is 1

2. Where do I get the detailed procedure to find GCD of 50, 255, 366, 782?

You can find a detailed procedure to find GCD of 50, 255, 366, 782 on our page.

3. How to find GCD of 50, 255, 366, 782 on a calculator?

You can find the GCD of 50, 255, 366, 782 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.