GCD of 938, 590, 800, 863 Calculator

Given Input numbers are 938, 590, 800, 863

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

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 863

List of positive integer divisors of 863 that divides 863 without a remainder.

1, 863

Greatest Common Divisior

We found the divisors of 938, 590, 800, 863 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 938, 590, 800, 863 is 1.

Therefore, GCD of numbers 938, 590, 800, 863 is 1

Given Input Data is 938, 590, 800, 863

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

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 590 is 2 x 5 x 59

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

Prime Factorization of 863 is 863

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(938, 590) = 276710

GCD(938, 590) = ( 938 x 590 ) / 276710

GCD(938, 590) = 553420 / 276710

GCD(938, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 800

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

LCM(2, 800) = 800

GCD(2, 800) = ( 2 x 800 ) / 800

GCD(2, 800) = 1600 / 800

GCD(2, 800) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 863

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

LCM(2, 863) = 1726

GCD(2, 863) = ( 2 x 863 ) / 1726

GCD(2, 863) = 1726 / 1726

GCD(2, 863) = 1

GCD of 938, 590, 800, 863 is 1

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1. What is the GCD of 938, 590, 800, 863?

GCD of 938, 590, 800, 863 is 1

2. Where do I get the detailed procedure to find GCD of 938, 590, 800, 863?

You can find a detailed procedure to find GCD of 938, 590, 800, 863 on our page.

3. How to find GCD of 938, 590, 800, 863 on a calculator?

You can find the GCD of 938, 590, 800, 863 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.