GCD of 203, 954, 308, 821 Calculator

Given Input numbers are 203, 954, 308, 821

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

Divisors of 203

List of positive integer divisors of 203 that divides 203 without a remainder.

1, 7, 29, 203

Divisors of 954

List of positive integer divisors of 954 that divides 954 without a remainder.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 821

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

1, 821

Greatest Common Divisior

We found the divisors of 203, 954, 308, 821 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 203, 954, 308, 821 is 1.

Therefore, GCD of numbers 203, 954, 308, 821 is 1

Given Input Data is 203, 954, 308, 821

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

Prime Factorization of 203 is 7 x 29

Prime Factorization of 954 is 2 x 3 x 3 x 53

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 821 is 821

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(203, 954) = 193662

GCD(203, 954) = ( 203 x 954 ) / 193662

GCD(203, 954) = 193662 / 193662

GCD(203, 954) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 308

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

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

GCD(1, 308) = 308 / 308

GCD(1, 308) = 1

Step3:

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

GCD of 203, 954, 308, 821 is 1

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1. What is the GCD of 203, 954, 308, 821?

GCD of 203, 954, 308, 821 is 1

2. Where do I get the detailed procedure to find GCD of 203, 954, 308, 821?

You can find a detailed procedure to find GCD of 203, 954, 308, 821 on our page.

3. How to find GCD of 203, 954, 308, 821 on a calculator?

You can find the GCD of 203, 954, 308, 821 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.