GCD of 10, 654, 211, 831 Calculator

Given Input numbers are 10, 654, 211, 831

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

Divisors of 10

List of positive integer divisors of 10 that divides 10 without a remainder.

1, 2, 5, 10

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 211

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

1, 211

Divisors of 831

List of positive integer divisors of 831 that divides 831 without a remainder.

1, 3, 277, 831

Greatest Common Divisior

We found the divisors of 10, 654, 211, 831 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 654, 211, 831 is 1.

Therefore, GCD of numbers 10, 654, 211, 831 is 1

Given Input Data is 10, 654, 211, 831

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

Prime Factorization of 10 is 2 x 5

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 211 is 211

Prime Factorization of 831 is 3 x 277

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(10, 654) = 3270

GCD(10, 654) = ( 10 x 654 ) / 3270

GCD(10, 654) = 6540 / 3270

GCD(10, 654) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 211

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

LCM(2, 211) = 422

GCD(2, 211) = ( 2 x 211 ) / 422

GCD(2, 211) = 422 / 422

GCD(2, 211) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 831

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

LCM(1, 831) = 831

GCD(1, 831) = ( 1 x 831 ) / 831

GCD(1, 831) = 831 / 831

GCD(1, 831) = 1

GCD of 10, 654, 211, 831 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 92, 556, 958, 870
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• GCD of 61, 549, 948, 388

1. What is the GCD of 10, 654, 211, 831?

GCD of 10, 654, 211, 831 is 1

2. Where do I get the detailed procedure to find GCD of 10, 654, 211, 831?

You can find a detailed procedure to find GCD of 10, 654, 211, 831 on our page.

3. How to find GCD of 10, 654, 211, 831 on a calculator?

You can find the GCD of 10, 654, 211, 831 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.