GCD of 867, 284, 210, 523 Calculator

Given Input numbers are 867, 284, 210, 523

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

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 867, 284, 210, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 867, 284, 210, 523 is 1.

Therefore, GCD of numbers 867, 284, 210, 523 is 1

Given Input Data is 867, 284, 210, 523

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

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 210 is 2 x 3 x 5 x 7

Prime Factorization of 523 is 523

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(867, 284) = 246228

GCD(867, 284) = ( 867 x 284 ) / 246228

GCD(867, 284) = 246228 / 246228

GCD(867, 284) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

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

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 867, 284, 210, 523 is 1

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1. What is the GCD of 867, 284, 210, 523?

GCD of 867, 284, 210, 523 is 1

2. Where do I get the detailed procedure to find GCD of 867, 284, 210, 523?

You can find a detailed procedure to find GCD of 867, 284, 210, 523 on our page.

3. How to find GCD of 867, 284, 210, 523 on a calculator?

You can find the GCD of 867, 284, 210, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.