GCD of 664, 674, 588, 783 Calculator

Given Input numbers are 664, 674, 588, 783

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

Divisors of 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 588

List of positive integer divisors of 588 that divides 588 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 783

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

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

Greatest Common Divisior

We found the divisors of 664, 674, 588, 783 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 664, 674, 588, 783 is 1.

Therefore, GCD of numbers 664, 674, 588, 783 is 1

Given Input Data is 664, 674, 588, 783

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 674 is 2 x 337

Prime Factorization of 588 is 2 x 2 x 3 x 7 x 7

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

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(664, 674) = 223768

GCD(664, 674) = ( 664 x 674 ) / 223768

GCD(664, 674) = 447536 / 223768

GCD(664, 674) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 588

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

LCM(2, 588) = 588

GCD(2, 588) = ( 2 x 588 ) / 588

GCD(2, 588) = 1176 / 588

GCD(2, 588) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 783

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

LCM(2, 783) = 1566

GCD(2, 783) = ( 2 x 783 ) / 1566

GCD(2, 783) = 1566 / 1566

GCD(2, 783) = 1

GCD of 664, 674, 588, 783 is 1

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1. What is the GCD of 664, 674, 588, 783?

GCD of 664, 674, 588, 783 is 1

2. Where do I get the detailed procedure to find GCD of 664, 674, 588, 783?

You can find a detailed procedure to find GCD of 664, 674, 588, 783 on our page.

3. How to find GCD of 664, 674, 588, 783 on a calculator?

You can find the GCD of 664, 674, 588, 783 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.