GCD of 23, 749, 484, 897 Calculator

Given Input numbers are 23, 749, 484, 897

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

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 484

List of positive integer divisors of 484 that divides 484 without a remainder.

1, 2, 4, 11, 22, 44, 121, 242, 484

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 23, 749, 484, 897 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 23, 749, 484, 897 is 1.

Therefore, GCD of numbers 23, 749, 484, 897 is 1

Given Input Data is 23, 749, 484, 897

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

Prime Factorization of 23 is 23

Prime Factorization of 749 is 7 x 107

Prime Factorization of 484 is 2 x 2 x 11 x 11

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(23, 749) = 17227

GCD(23, 749) = ( 23 x 749 ) / 17227

GCD(23, 749) = 17227 / 17227

GCD(23, 749) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 484

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

LCM(1, 484) = 484

GCD(1, 484) = ( 1 x 484 ) / 484

GCD(1, 484) = 484 / 484

GCD(1, 484) = 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 23, 749, 484, 897 is 1

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• GCD of 13, 682, 997, 643
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• GCD of 98, 844, 967, 978

1. What is the GCD of 23, 749, 484, 897?

GCD of 23, 749, 484, 897 is 1

2. Where do I get the detailed procedure to find GCD of 23, 749, 484, 897?

You can find a detailed procedure to find GCD of 23, 749, 484, 897 on our page.

3. How to find GCD of 23, 749, 484, 897 on a calculator?

You can find the GCD of 23, 749, 484, 897 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.