GCD of 699, 296, 657, 438 Calculator

Given Input numbers are 699, 296, 657, 438

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

Divisors of 699

List of positive integer divisors of 699 that divides 699 without a remainder.

1, 3, 233, 699

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Greatest Common Divisior

We found the divisors of 699, 296, 657, 438 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 699, 296, 657, 438 is 1.

Therefore, GCD of numbers 699, 296, 657, 438 is 1

Given Input Data is 699, 296, 657, 438

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

Prime Factorization of 699 is 3 x 233

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 438 is 2 x 3 x 73

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(699, 296) = 206904

GCD(699, 296) = ( 699 x 296 ) / 206904

GCD(699, 296) = 206904 / 206904

GCD(699, 296) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 657

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

LCM(1, 657) = 657

GCD(1, 657) = ( 1 x 657 ) / 657

GCD(1, 657) = 657 / 657

GCD(1, 657) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 438

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

LCM(1, 438) = 438

GCD(1, 438) = ( 1 x 438 ) / 438

GCD(1, 438) = 438 / 438

GCD(1, 438) = 1

GCD of 699, 296, 657, 438 is 1

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1. What is the GCD of 699, 296, 657, 438?

GCD of 699, 296, 657, 438 is 1

2. Where do I get the detailed procedure to find GCD of 699, 296, 657, 438?

You can find a detailed procedure to find GCD of 699, 296, 657, 438 on our page.

3. How to find GCD of 699, 296, 657, 438 on a calculator?

You can find the GCD of 699, 296, 657, 438 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.