GCD of 271, 829, 76, 649 Calculator

Given Input numbers are 271, 829, 76, 649

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

Divisors of 271

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

1, 271

Divisors of 829

List of positive integer divisors of 829 that divides 829 without a remainder.

1, 829

Divisors of 76

List of positive integer divisors of 76 that divides 76 without a remainder.

1, 2, 4, 19, 38, 76

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Greatest Common Divisior

We found the divisors of 271, 829, 76, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 271, 829, 76, 649 is 1.

Therefore, GCD of numbers 271, 829, 76, 649 is 1

Given Input Data is 271, 829, 76, 649

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

Prime Factorization of 271 is 271

Prime Factorization of 829 is 829

Prime Factorization of 76 is 2 x 2 x 19

Prime Factorization of 649 is 11 x 59

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(271, 829) = 224659

GCD(271, 829) = ( 271 x 829 ) / 224659

GCD(271, 829) = 224659 / 224659

GCD(271, 829) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 76

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

LCM(1, 76) = 76

GCD(1, 76) = ( 1 x 76 ) / 76

GCD(1, 76) = 76 / 76

GCD(1, 76) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 649

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

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

GCD(1, 649) = 649 / 649

GCD(1, 649) = 1

GCD of 271, 829, 76, 649 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 907, 29, 919
• GCD of 692, 784, 76, 812
• GCD of 872, 160, 64, 607
• GCD of 433, 237, 74, 160
• GCD of 402, 900, 68, 816

1. What is the GCD of 271, 829, 76, 649?

GCD of 271, 829, 76, 649 is 1

2. Where do I get the detailed procedure to find GCD of 271, 829, 76, 649?

You can find a detailed procedure to find GCD of 271, 829, 76, 649 on our page.

3. How to find GCD of 271, 829, 76, 649 on a calculator?

You can find the GCD of 271, 829, 76, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.