GCD of 453, 612, 229, 697 Calculator

Given Input numbers are 453, 612, 229, 697

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

Divisors of 453

List of positive integer divisors of 453 that divides 453 without a remainder.

1, 3, 151, 453

Divisors of 612

List of positive integer divisors of 612 that divides 612 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 697

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

1, 17, 41, 697

Greatest Common Divisior

We found the divisors of 453, 612, 229, 697 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 453, 612, 229, 697 is 1.

Therefore, GCD of numbers 453, 612, 229, 697 is 1

Given Input Data is 453, 612, 229, 697

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

Prime Factorization of 453 is 3 x 151

Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17

Prime Factorization of 229 is 229

Prime Factorization of 697 is 17 x 41

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(453, 612) = 92412

GCD(453, 612) = ( 453 x 612 ) / 92412

GCD(453, 612) = 277236 / 92412

GCD(453, 612) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 229

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

LCM(3, 229) = 687

GCD(3, 229) = ( 3 x 229 ) / 687

GCD(3, 229) = 687 / 687

GCD(3, 229) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 697

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

LCM(1, 697) = 697

GCD(1, 697) = ( 1 x 697 ) / 697

GCD(1, 697) = 697 / 697

GCD(1, 697) = 1

GCD of 453, 612, 229, 697 is 1

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1. What is the GCD of 453, 612, 229, 697?

GCD of 453, 612, 229, 697 is 1

2. Where do I get the detailed procedure to find GCD of 453, 612, 229, 697?

You can find a detailed procedure to find GCD of 453, 612, 229, 697 on our page.

3. How to find GCD of 453, 612, 229, 697 on a calculator?

You can find the GCD of 453, 612, 229, 697 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.