GCD of 800, 296, 405, 962 Calculator

Given Input numbers are 800, 296, 405, 962

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 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 405

List of positive integer divisors of 405 that divides 405 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 405

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 800, 296, 405, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 296, 405, 962 is 1.

Therefore, GCD of numbers 800, 296, 405, 962 is 1

Given Input Data is 800, 296, 405, 962

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 296 is 2 x 2 x 2 x 37

Prime Factorization of 405 is 3 x 3 x 3 x 3 x 5

Prime Factorization of 962 is 2 x 13 x 37

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, 296) = 29600

GCD(800, 296) = ( 800 x 296 ) / 29600

GCD(800, 296) = 236800 / 29600

GCD(800, 296) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 405

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

LCM(8, 405) = 3240

GCD(8, 405) = ( 8 x 405 ) / 3240

GCD(8, 405) = 3240 / 3240

GCD(8, 405) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

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

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 800, 296, 405, 962 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 696, 959, 684, 905
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• GCD of 346, 771, 333, 550

1. What is the GCD of 800, 296, 405, 962?

GCD of 800, 296, 405, 962 is 1

2. Where do I get the detailed procedure to find GCD of 800, 296, 405, 962?

You can find a detailed procedure to find GCD of 800, 296, 405, 962 on our page.

3. How to find GCD of 800, 296, 405, 962 on a calculator?

You can find the GCD of 800, 296, 405, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.