GCD of 849, 276, 17, 671 Calculator

Given Input numbers are 849, 276, 17, 671

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

Divisors of 849

List of positive integer divisors of 849 that divides 849 without a remainder.

1, 3, 283, 849

Divisors of 276

List of positive integer divisors of 276 that divides 276 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

Divisors of 671

List of positive integer divisors of 671 that divides 671 without a remainder.

1, 11, 61, 671

Greatest Common Divisior

We found the divisors of 849, 276, 17, 671 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 276, 17, 671 is 1.

Therefore, GCD of numbers 849, 276, 17, 671 is 1

Given Input Data is 849, 276, 17, 671

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 276 is 2 x 2 x 3 x 23

Prime Factorization of 17 is 17

Prime Factorization of 671 is 11 x 61

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(849, 276) = 78108

GCD(849, 276) = ( 849 x 276 ) / 78108

GCD(849, 276) = 234324 / 78108

GCD(849, 276) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 671

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

LCM(1, 671) = 671

GCD(1, 671) = ( 1 x 671 ) / 671

GCD(1, 671) = 671 / 671

GCD(1, 671) = 1

GCD of 849, 276, 17, 671 is 1

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1. What is the GCD of 849, 276, 17, 671?

GCD of 849, 276, 17, 671 is 1

2. Where do I get the detailed procedure to find GCD of 849, 276, 17, 671?

You can find a detailed procedure to find GCD of 849, 276, 17, 671 on our page.

3. How to find GCD of 849, 276, 17, 671 on a calculator?

You can find the GCD of 849, 276, 17, 671 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.