GCD of 265, 317, 821, 200 Calculator

Given Input numbers are 265, 317, 821, 200

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

Divisors of 265

List of positive integer divisors of 265 that divides 265 without a remainder.

1, 5, 53, 265

Divisors of 317

List of positive integer divisors of 317 that divides 317 without a remainder.

1, 317

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

Divisors of 200

List of positive integer divisors of 200 that divides 200 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

Greatest Common Divisior

We found the divisors of 265, 317, 821, 200 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 265, 317, 821, 200 is 1.

Therefore, GCD of numbers 265, 317, 821, 200 is 1

Given Input Data is 265, 317, 821, 200

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

Prime Factorization of 265 is 5 x 53

Prime Factorization of 317 is 317

Prime Factorization of 821 is 821

Prime Factorization of 200 is 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(265, 317) = 84005

GCD(265, 317) = ( 265 x 317 ) / 84005

GCD(265, 317) = 84005 / 84005

GCD(265, 317) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 200

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

LCM(1, 200) = 200

GCD(1, 200) = ( 1 x 200 ) / 200

GCD(1, 200) = 200 / 200

GCD(1, 200) = 1

GCD of 265, 317, 821, 200 is 1

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1. What is the GCD of 265, 317, 821, 200?

GCD of 265, 317, 821, 200 is 1

2. Where do I get the detailed procedure to find GCD of 265, 317, 821, 200?

You can find a detailed procedure to find GCD of 265, 317, 821, 200 on our page.

3. How to find GCD of 265, 317, 821, 200 on a calculator?

You can find the GCD of 265, 317, 821, 200 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.