GCD of 689, 428, 38, 788 Calculator

Given Input numbers are 689, 428, 38, 788

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

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 689, 428, 38, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 689, 428, 38, 788 is 1.

Therefore, GCD of numbers 689, 428, 38, 788 is 1

Given Input Data is 689, 428, 38, 788

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

Prime Factorization of 689 is 13 x 53

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 38 is 2 x 19

Prime Factorization of 788 is 2 x 2 x 197

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(689, 428) = 294892

GCD(689, 428) = ( 689 x 428 ) / 294892

GCD(689, 428) = 294892 / 294892

GCD(689, 428) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 788

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

LCM(1, 788) = 788

GCD(1, 788) = ( 1 x 788 ) / 788

GCD(1, 788) = 788 / 788

GCD(1, 788) = 1

GCD of 689, 428, 38, 788 is 1

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1. What is the GCD of 689, 428, 38, 788?

GCD of 689, 428, 38, 788 is 1

2. Where do I get the detailed procedure to find GCD of 689, 428, 38, 788?

You can find a detailed procedure to find GCD of 689, 428, 38, 788 on our page.

3. How to find GCD of 689, 428, 38, 788 on a calculator?

You can find the GCD of 689, 428, 38, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.