GCD of 800, 291, 633, 984 Calculator

Given Input numbers are 800, 291, 633, 984

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 291

List of positive integer divisors of 291 that divides 291 without a remainder.

1, 3, 97, 291

Divisors of 633

List of positive integer divisors of 633 that divides 633 without a remainder.

1, 3, 211, 633

Divisors of 984

List of positive integer divisors of 984 that divides 984 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

Greatest Common Divisior

We found the divisors of 800, 291, 633, 984 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 291, 633, 984 is 1.

Therefore, GCD of numbers 800, 291, 633, 984 is 1

Given Input Data is 800, 291, 633, 984

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 291 is 3 x 97

Prime Factorization of 633 is 3 x 211

Prime Factorization of 984 is 2 x 2 x 2 x 3 x 41

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, 291) = 232800

GCD(800, 291) = ( 800 x 291 ) / 232800

GCD(800, 291) = 232800 / 232800

GCD(800, 291) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 633

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

LCM(1, 633) = 633

GCD(1, 633) = ( 1 x 633 ) / 633

GCD(1, 633) = 633 / 633

GCD(1, 633) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 984

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

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

GCD(1, 984) = 984 / 984

GCD(1, 984) = 1

GCD of 800, 291, 633, 984 is 1

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1. What is the GCD of 800, 291, 633, 984?

GCD of 800, 291, 633, 984 is 1

2. Where do I get the detailed procedure to find GCD of 800, 291, 633, 984?

You can find a detailed procedure to find GCD of 800, 291, 633, 984 on our page.

3. How to find GCD of 800, 291, 633, 984 on a calculator?

You can find the GCD of 800, 291, 633, 984 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.