GCD of 997, 721, 872, 470 Calculator

Given Input numbers are 997, 721, 872, 470

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

Divisors of 997

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

1, 997

Divisors of 721

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

1, 7, 103, 721

Divisors of 872

List of positive integer divisors of 872 that divides 872 without a remainder.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Greatest Common Divisior

We found the divisors of 997, 721, 872, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 997, 721, 872, 470 is 1.

Therefore, GCD of numbers 997, 721, 872, 470 is 1

Given Input Data is 997, 721, 872, 470

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

Prime Factorization of 997 is 997

Prime Factorization of 721 is 7 x 103

Prime Factorization of 872 is 2 x 2 x 2 x 109

Prime Factorization of 470 is 2 x 5 x 47

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(997, 721) = 718837

GCD(997, 721) = ( 997 x 721 ) / 718837

GCD(997, 721) = 718837 / 718837

GCD(997, 721) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 872

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

LCM(1, 872) = 872

GCD(1, 872) = ( 1 x 872 ) / 872

GCD(1, 872) = 872 / 872

GCD(1, 872) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 470

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

LCM(1, 470) = 470

GCD(1, 470) = ( 1 x 470 ) / 470

GCD(1, 470) = 470 / 470

GCD(1, 470) = 1

GCD of 997, 721, 872, 470 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 506, 689, 770
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• GCD of 926, 562, 992, 605

1. What is the GCD of 997, 721, 872, 470?

GCD of 997, 721, 872, 470 is 1

2. Where do I get the detailed procedure to find GCD of 997, 721, 872, 470?

You can find a detailed procedure to find GCD of 997, 721, 872, 470 on our page.

3. How to find GCD of 997, 721, 872, 470 on a calculator?

You can find the GCD of 997, 721, 872, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.