GCD of 803, 712, 21, 271 Calculator

Given Input numbers are 803, 712, 21, 271

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Divisors of 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 271

List of positive integer divisors of 271 that divides 271 without a remainder.

1, 271

Greatest Common Divisior

We found the divisors of 803, 712, 21, 271 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 803, 712, 21, 271 is 1.

Therefore, GCD of numbers 803, 712, 21, 271 is 1

Given Input Data is 803, 712, 21, 271

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

Prime Factorization of 803 is 11 x 73

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 21 is 3 x 7

Prime Factorization of 271 is 271

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(803, 712) = 571736

GCD(803, 712) = ( 803 x 712 ) / 571736

GCD(803, 712) = 571736 / 571736

GCD(803, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 271

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

LCM(1, 271) = 271

GCD(1, 271) = ( 1 x 271 ) / 271

GCD(1, 271) = 271 / 271

GCD(1, 271) = 1

GCD of 803, 712, 21, 271 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 654, 52, 564
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• GCD of 819, 815, 57, 964
• GCD of 765, 480, 68, 283
• GCD of 740, 204, 16, 439

1. What is the GCD of 803, 712, 21, 271?

GCD of 803, 712, 21, 271 is 1

2. Where do I get the detailed procedure to find GCD of 803, 712, 21, 271?

You can find a detailed procedure to find GCD of 803, 712, 21, 271 on our page.

3. How to find GCD of 803, 712, 21, 271 on a calculator?

You can find the GCD of 803, 712, 21, 271 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.