GCD of 237, 897, 800, 338 Calculator

Given Input numbers are 237, 897, 800, 338

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

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

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 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Greatest Common Divisior

We found the divisors of 237, 897, 800, 338 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 237, 897, 800, 338 is 1.

Therefore, GCD of numbers 237, 897, 800, 338 is 1

Given Input Data is 237, 897, 800, 338

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

Prime Factorization of 237 is 3 x 79

Prime Factorization of 897 is 3 x 13 x 23

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

Prime Factorization of 338 is 2 x 13 x 13

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(237, 897) = 70863

GCD(237, 897) = ( 237 x 897 ) / 70863

GCD(237, 897) = 212589 / 70863

GCD(237, 897) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 800

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

LCM(3, 800) = 2400

GCD(3, 800) = ( 3 x 800 ) / 2400

GCD(3, 800) = 2400 / 2400

GCD(3, 800) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 338

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

LCM(1, 338) = 338

GCD(1, 338) = ( 1 x 338 ) / 338

GCD(1, 338) = 338 / 338

GCD(1, 338) = 1

GCD of 237, 897, 800, 338 is 1

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1. What is the GCD of 237, 897, 800, 338?

GCD of 237, 897, 800, 338 is 1

2. Where do I get the detailed procedure to find GCD of 237, 897, 800, 338?

You can find a detailed procedure to find GCD of 237, 897, 800, 338 on our page.

3. How to find GCD of 237, 897, 800, 338 on a calculator?

You can find the GCD of 237, 897, 800, 338 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.