GCD of 253, 451, 83, 800 Calculator

Given Input numbers are 253, 451, 83, 800

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

Divisors of 253

List of positive integer divisors of 253 that divides 253 without a remainder.

1, 11, 23, 253

Divisors of 451

List of positive integer divisors of 451 that divides 451 without a remainder.

1, 11, 41, 451

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

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 253, 451, 83, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 253, 451, 83, 800 is 1.

Therefore, GCD of numbers 253, 451, 83, 800 is 1

Given Input Data is 253, 451, 83, 800

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

Prime Factorization of 253 is 11 x 23

Prime Factorization of 451 is 11 x 41

Prime Factorization of 83 is 83

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(253, 451) = 10373

GCD(253, 451) = ( 253 x 451 ) / 10373

GCD(253, 451) = 114103 / 10373

GCD(253, 451) = 11

Step2:

Here we consider the GCD from the above i.e. 11 as first number and the next as 83

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

LCM(11, 83) = 913

GCD(11, 83) = ( 11 x 83 ) / 913

GCD(11, 83) = 913 / 913

GCD(11, 83) = 1

Step3:

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 253, 451, 83, 800 is 1

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1. What is the GCD of 253, 451, 83, 800?

GCD of 253, 451, 83, 800 is 1

2. Where do I get the detailed procedure to find GCD of 253, 451, 83, 800?

You can find a detailed procedure to find GCD of 253, 451, 83, 800 on our page.

3. How to find GCD of 253, 451, 83, 800 on a calculator?

You can find the GCD of 253, 451, 83, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.