GCD of 779, 721, 409, 690 Calculator

Given Input numbers are 779, 721, 409, 690

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

Divisors of 779

List of positive integer divisors of 779 that divides 779 without a remainder.

1, 19, 41, 779

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 409

List of positive integer divisors of 409 that divides 409 without a remainder.

1, 409

Divisors of 690

List of positive integer divisors of 690 that divides 690 without a remainder.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Greatest Common Divisior

We found the divisors of 779, 721, 409, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 779, 721, 409, 690 is 1.

Therefore, GCD of numbers 779, 721, 409, 690 is 1

Given Input Data is 779, 721, 409, 690

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

Prime Factorization of 779 is 19 x 41

Prime Factorization of 721 is 7 x 103

Prime Factorization of 409 is 409

Prime Factorization of 690 is 2 x 3 x 5 x 23

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(779, 721) = 561659

GCD(779, 721) = ( 779 x 721 ) / 561659

GCD(779, 721) = 561659 / 561659

GCD(779, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 409

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

LCM(1, 409) = 409

GCD(1, 409) = ( 1 x 409 ) / 409

GCD(1, 409) = 409 / 409

GCD(1, 409) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 690

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

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

GCD(1, 690) = 690 / 690

GCD(1, 690) = 1

GCD of 779, 721, 409, 690 is 1

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1. What is the GCD of 779, 721, 409, 690?

GCD of 779, 721, 409, 690 is 1

2. Where do I get the detailed procedure to find GCD of 779, 721, 409, 690?

You can find a detailed procedure to find GCD of 779, 721, 409, 690 on our page.

3. How to find GCD of 779, 721, 409, 690 on a calculator?

You can find the GCD of 779, 721, 409, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.