GCD of 629, 709, 59, 728 Calculator

Given Input numbers are 629, 709, 59, 728

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

Divisors of 629

List of positive integer divisors of 629 that divides 629 without a remainder.

1, 17, 37, 629

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Divisors of 59

List of positive integer divisors of 59 that divides 59 without a remainder.

1, 59

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 629, 709, 59, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 629, 709, 59, 728 is 1.

Therefore, GCD of numbers 629, 709, 59, 728 is 1

Given Input Data is 629, 709, 59, 728

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

Prime Factorization of 629 is 17 x 37

Prime Factorization of 709 is 709

Prime Factorization of 59 is 59

Prime Factorization of 728 is 2 x 2 x 2 x 7 x 13

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(629, 709) = 445961

GCD(629, 709) = ( 629 x 709 ) / 445961

GCD(629, 709) = 445961 / 445961

GCD(629, 709) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 59

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

LCM(1, 59) = 59

GCD(1, 59) = ( 1 x 59 ) / 59

GCD(1, 59) = 59 / 59

GCD(1, 59) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 629, 709, 59, 728 is 1

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• GCD of 301, 343, 25, 720
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1. What is the GCD of 629, 709, 59, 728?

GCD of 629, 709, 59, 728 is 1

2. Where do I get the detailed procedure to find GCD of 629, 709, 59, 728?

You can find a detailed procedure to find GCD of 629, 709, 59, 728 on our page.

3. How to find GCD of 629, 709, 59, 728 on a calculator?

You can find the GCD of 629, 709, 59, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.