GCD of 460, 797, 30, 909 Calculator

Given Input numbers are 460, 797, 30, 909

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

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Divisors of 30

List of positive integer divisors of 30 that divides 30 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30

Divisors of 909

List of positive integer divisors of 909 that divides 909 without a remainder.

1, 3, 9, 101, 303, 909

Greatest Common Divisior

We found the divisors of 460, 797, 30, 909 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 797, 30, 909 is 1.

Therefore, GCD of numbers 460, 797, 30, 909 is 1

Given Input Data is 460, 797, 30, 909

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

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 797 is 797

Prime Factorization of 30 is 2 x 3 x 5

Prime Factorization of 909 is 3 x 3 x 101

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(460, 797) = 366620

GCD(460, 797) = ( 460 x 797 ) / 366620

GCD(460, 797) = 366620 / 366620

GCD(460, 797) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 30

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

LCM(1, 30) = 30

GCD(1, 30) = ( 1 x 30 ) / 30

GCD(1, 30) = 30 / 30

GCD(1, 30) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 909

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

LCM(1, 909) = 909

GCD(1, 909) = ( 1 x 909 ) / 909

GCD(1, 909) = 909 / 909

GCD(1, 909) = 1

GCD of 460, 797, 30, 909 is 1

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1. What is the GCD of 460, 797, 30, 909?

GCD of 460, 797, 30, 909 is 1

2. Where do I get the detailed procedure to find GCD of 460, 797, 30, 909?

You can find a detailed procedure to find GCD of 460, 797, 30, 909 on our page.

3. How to find GCD of 460, 797, 30, 909 on a calculator?

You can find the GCD of 460, 797, 30, 909 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.