GCD of 800, 411, 603, 211 Calculator

Given Input numbers are 800, 411, 603, 211

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 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Divisors of 603

List of positive integer divisors of 603 that divides 603 without a remainder.

1, 3, 9, 67, 201, 603

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 800, 411, 603, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 800, 411, 603, 211 is 1.

Therefore, GCD of numbers 800, 411, 603, 211 is 1

Given Input Data is 800, 411, 603, 211

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 411 is 3 x 137

Prime Factorization of 603 is 3 x 3 x 67

Prime Factorization of 211 is 211

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, 411) = 328800

GCD(800, 411) = ( 800 x 411 ) / 328800

GCD(800, 411) = 328800 / 328800

GCD(800, 411) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 603

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

LCM(1, 603) = 603

GCD(1, 603) = ( 1 x 603 ) / 603

GCD(1, 603) = 603 / 603

GCD(1, 603) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 800, 411, 603, 211 is 1

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1. What is the GCD of 800, 411, 603, 211?

GCD of 800, 411, 603, 211 is 1

2. Where do I get the detailed procedure to find GCD of 800, 411, 603, 211?

You can find a detailed procedure to find GCD of 800, 411, 603, 211 on our page.

3. How to find GCD of 800, 411, 603, 211 on a calculator?

You can find the GCD of 800, 411, 603, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.