GCD of 200, 798, 50, 763 Calculator

Given Input numbers are 200, 798, 50, 763

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

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 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 50

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

1, 2, 5, 10, 25, 50

Divisors of 763

List of positive integer divisors of 763 that divides 763 without a remainder.

1, 7, 109, 763

Greatest Common Divisior

We found the divisors of 200, 798, 50, 763 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 200, 798, 50, 763 is 1.

Therefore, GCD of numbers 200, 798, 50, 763 is 1

Given Input Data is 200, 798, 50, 763

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

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

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 50 is 2 x 5 x 5

Prime Factorization of 763 is 7 x 109

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(200, 798) = 79800

GCD(200, 798) = ( 200 x 798 ) / 79800

GCD(200, 798) = 159600 / 79800

GCD(200, 798) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 50

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

LCM(2, 50) = 50

GCD(2, 50) = ( 2 x 50 ) / 50

GCD(2, 50) = 100 / 50

GCD(2, 50) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 763

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

LCM(2, 763) = 1526

GCD(2, 763) = ( 2 x 763 ) / 1526

GCD(2, 763) = 1526 / 1526

GCD(2, 763) = 1

GCD of 200, 798, 50, 763 is 1

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• GCD of 465, 449, 94, 945

1. What is the GCD of 200, 798, 50, 763?

GCD of 200, 798, 50, 763 is 1

2. Where do I get the detailed procedure to find GCD of 200, 798, 50, 763?

You can find a detailed procedure to find GCD of 200, 798, 50, 763 on our page.

3. How to find GCD of 200, 798, 50, 763 on a calculator?

You can find the GCD of 200, 798, 50, 763 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.