GCD of 733, 262, 800 Calculator

Given Input numbers are 733, 262, 800

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

Divisors of 733

List of positive integer divisors of 733 that divides 733 without a remainder.

1, 733

Divisors of 262

List of positive integer divisors of 262 that divides 262 without a remainder.

1, 2, 131, 262

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

Greatest Common Divisior

We found the divisors of 733, 262, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 733, 262, 800 is 1.

Therefore, GCD of numbers 733, 262, 800 is 1

Given Input Data is 733, 262, 800

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

Prime Factorization of 733 is 733

Prime Factorization of 262 is 2 x 131

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

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(733, 262) = 192046

GCD(733, 262) = ( 733 x 262 ) / 192046

GCD(733, 262) = 192046 / 192046

GCD(733, 262) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 800

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

LCM(1, 800) = 800

GCD(1, 800) = ( 1 x 800 ) / 800

GCD(1, 800) = 800 / 800

GCD(1, 800) = 1

GCD of 733, 262, 800 is 1

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1. What is the GCD of 733, 262, 800?

GCD of 733, 262, 800 is 1

2. Where do I get the detailed procedure to find GCD of 733, 262, 800?

You can find a detailed procedure to find GCD of 733, 262, 800 on our page.

3. How to find GCD of 733, 262, 800 on a calculator?

You can find the GCD of 733, 262, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.