GCD of 723, 721, 997, 897 Calculator

Given Input numbers are 723, 721, 997, 897

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

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 897

List of positive integer divisors of 897 that divides 897 without a remainder.

1, 3, 13, 23, 39, 69, 299, 897

Greatest Common Divisior

We found the divisors of 723, 721, 997, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 721, 997, 897 is 1.

Therefore, GCD of numbers 723, 721, 997, 897 is 1

Given Input Data is 723, 721, 997, 897

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 721 is 7 x 103

Prime Factorization of 997 is 997

Prime Factorization of 897 is 3 x 13 x 23

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(723, 721) = 521283

GCD(723, 721) = ( 723 x 721 ) / 521283

GCD(723, 721) = 521283 / 521283

GCD(723, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 997

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

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

GCD(1, 997) = 997 / 997

GCD(1, 997) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 897

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

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

GCD(1, 897) = 897 / 897

GCD(1, 897) = 1

GCD of 723, 721, 997, 897 is 1

Here are some samples of GCD of Numbers calculations.

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• GCD of 343, 981, 767, 957

1. What is the GCD of 723, 721, 997, 897?

GCD of 723, 721, 997, 897 is 1

2. Where do I get the detailed procedure to find GCD of 723, 721, 997, 897?

You can find a detailed procedure to find GCD of 723, 721, 997, 897 on our page.

3. How to find GCD of 723, 721, 997, 897 on a calculator?

You can find the GCD of 723, 721, 997, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.