GCD of 800, 963, 892, 791 Calculator

Given Input numbers are 800, 963, 892, 791

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 963

List of positive integer divisors of 963 that divides 963 without a remainder.

1, 3, 9, 107, 321, 963

Divisors of 892

List of positive integer divisors of 892 that divides 892 without a remainder.

1, 2, 4, 223, 446, 892

Divisors of 791

List of positive integer divisors of 791 that divides 791 without a remainder.

1, 7, 113, 791

Greatest Common Divisior

We found the divisors of 800, 963, 892, 791 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 963, 892, 791 is 1.

Therefore, GCD of numbers 800, 963, 892, 791 is 1

Given Input Data is 800, 963, 892, 791

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 963 is 3 x 3 x 107

Prime Factorization of 892 is 2 x 2 x 223

Prime Factorization of 791 is 7 x 113

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, 963) = 770400

GCD(800, 963) = ( 800 x 963 ) / 770400

GCD(800, 963) = 770400 / 770400

GCD(800, 963) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 892

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

LCM(1, 892) = 892

GCD(1, 892) = ( 1 x 892 ) / 892

GCD(1, 892) = 892 / 892

GCD(1, 892) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 791

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

LCM(1, 791) = 791

GCD(1, 791) = ( 1 x 791 ) / 791

GCD(1, 791) = 791 / 791

GCD(1, 791) = 1

GCD of 800, 963, 892, 791 is 1

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1. What is the GCD of 800, 963, 892, 791?

GCD of 800, 963, 892, 791 is 1

2. Where do I get the detailed procedure to find GCD of 800, 963, 892, 791?

You can find a detailed procedure to find GCD of 800, 963, 892, 791 on our page.

3. How to find GCD of 800, 963, 892, 791 on a calculator?

You can find the GCD of 800, 963, 892, 791 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.