GCD of 697, 774, 783, 676 Calculator

Given Input numbers are 697, 774, 783, 676

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

Divisors of 697

List of positive integer divisors of 697 that divides 697 without a remainder.

1, 17, 41, 697

Divisors of 774

List of positive integer divisors of 774 that divides 774 without a remainder.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 783

List of positive integer divisors of 783 that divides 783 without a remainder.

1, 3, 9, 27, 29, 87, 261, 783

Divisors of 676

List of positive integer divisors of 676 that divides 676 without a remainder.

1, 2, 4, 13, 26, 52, 169, 338, 676

Greatest Common Divisior

We found the divisors of 697, 774, 783, 676 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 697, 774, 783, 676 is 1.

Therefore, GCD of numbers 697, 774, 783, 676 is 1

Given Input Data is 697, 774, 783, 676

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

Prime Factorization of 697 is 17 x 41

Prime Factorization of 774 is 2 x 3 x 3 x 43

Prime Factorization of 783 is 3 x 3 x 3 x 29

Prime Factorization of 676 is 2 x 2 x 13 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(697, 774) = 539478

GCD(697, 774) = ( 697 x 774 ) / 539478

GCD(697, 774) = 539478 / 539478

GCD(697, 774) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 783

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

LCM(1, 783) = 783

GCD(1, 783) = ( 1 x 783 ) / 783

GCD(1, 783) = 783 / 783

GCD(1, 783) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 676

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

LCM(1, 676) = 676

GCD(1, 676) = ( 1 x 676 ) / 676

GCD(1, 676) = 676 / 676

GCD(1, 676) = 1

GCD of 697, 774, 783, 676 is 1

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1. What is the GCD of 697, 774, 783, 676?

GCD of 697, 774, 783, 676 is 1

2. Where do I get the detailed procedure to find GCD of 697, 774, 783, 676?

You can find a detailed procedure to find GCD of 697, 774, 783, 676 on our page.

3. How to find GCD of 697, 774, 783, 676 on a calculator?

You can find the GCD of 697, 774, 783, 676 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.