GCD of 849, 597, 13, 712 Calculator

Given Input numbers are 849, 597, 13, 712

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 597

List of positive integer divisors of 597 that divides 597 without a remainder.

1, 3, 199, 597

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 712

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

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

Greatest Common Divisior

We found the divisors of 849, 597, 13, 712 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 849, 597, 13, 712 is 1.

Therefore, GCD of numbers 849, 597, 13, 712 is 1

Given Input Data is 849, 597, 13, 712

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

Prime Factorization of 849 is 3 x 283

Prime Factorization of 597 is 3 x 199

Prime Factorization of 13 is 13

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

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, 597) = 168951

GCD(849, 597) = ( 849 x 597 ) / 168951

GCD(849, 597) = 506853 / 168951

GCD(849, 597) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 13

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

LCM(3, 13) = 39

GCD(3, 13) = ( 3 x 13 ) / 39

GCD(3, 13) = 39 / 39

GCD(3, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 712

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

LCM(1, 712) = 712

GCD(1, 712) = ( 1 x 712 ) / 712

GCD(1, 712) = 712 / 712

GCD(1, 712) = 1

GCD of 849, 597, 13, 712 is 1

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• GCD of 946, 103, 28, 638
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• GCD of 409, 762, 34, 184

1. What is the GCD of 849, 597, 13, 712?

GCD of 849, 597, 13, 712 is 1

2. Where do I get the detailed procedure to find GCD of 849, 597, 13, 712?

You can find a detailed procedure to find GCD of 849, 597, 13, 712 on our page.

3. How to find GCD of 849, 597, 13, 712 on a calculator?

You can find the GCD of 849, 597, 13, 712 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.