GCD of 297, 654, 438, 803 Calculator

Given Input numbers are 297, 654, 438, 803

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

Divisors of 297

List of positive integer divisors of 297 that divides 297 without a remainder.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 438

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

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

Divisors of 803

List of positive integer divisors of 803 that divides 803 without a remainder.

1, 11, 73, 803

Greatest Common Divisior

We found the divisors of 297, 654, 438, 803 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 297, 654, 438, 803 is 1.

Therefore, GCD of numbers 297, 654, 438, 803 is 1

Given Input Data is 297, 654, 438, 803

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

Prime Factorization of 297 is 3 x 3 x 3 x 11

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 803 is 11 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(297, 654) = 64746

GCD(297, 654) = ( 297 x 654 ) / 64746

GCD(297, 654) = 194238 / 64746

GCD(297, 654) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 438

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

LCM(3, 438) = 438

GCD(3, 438) = ( 3 x 438 ) / 438

GCD(3, 438) = 1314 / 438

GCD(3, 438) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 803

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

LCM(3, 803) = 2409

GCD(3, 803) = ( 3 x 803 ) / 2409

GCD(3, 803) = 2409 / 2409

GCD(3, 803) = 1

GCD of 297, 654, 438, 803 is 1

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1. What is the GCD of 297, 654, 438, 803?

GCD of 297, 654, 438, 803 is 1

2. Where do I get the detailed procedure to find GCD of 297, 654, 438, 803?

You can find a detailed procedure to find GCD of 297, 654, 438, 803 on our page.

3. How to find GCD of 297, 654, 438, 803 on a calculator?

You can find the GCD of 297, 654, 438, 803 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.