GCD of 54, 371, 289, 800 Calculator

Given Input numbers are 54, 371, 289, 800

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

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

Divisors of 371

List of positive integer divisors of 371 that divides 371 without a remainder.

1, 7, 53, 371

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

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 54, 371, 289, 800 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 54, 371, 289, 800 is 1.

Therefore, GCD of numbers 54, 371, 289, 800 is 1

Given Input Data is 54, 371, 289, 800

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

Prime Factorization of 54 is 2 x 3 x 3 x 3

Prime Factorization of 371 is 7 x 53

Prime Factorization of 289 is 17 x 17

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(54, 371) = 20034

GCD(54, 371) = ( 54 x 371 ) / 20034

GCD(54, 371) = 20034 / 20034

GCD(54, 371) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 289

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

LCM(1, 289) = 289

GCD(1, 289) = ( 1 x 289 ) / 289

GCD(1, 289) = 289 / 289

GCD(1, 289) = 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 54, 371, 289, 800 is 1

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1. What is the GCD of 54, 371, 289, 800?

GCD of 54, 371, 289, 800 is 1

2. Where do I get the detailed procedure to find GCD of 54, 371, 289, 800?

You can find a detailed procedure to find GCD of 54, 371, 289, 800 on our page.

3. How to find GCD of 54, 371, 289, 800 on a calculator?

You can find the GCD of 54, 371, 289, 800 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.