GCD of 454, 909, 38, 852 Calculator

Given Input numbers are 454, 909, 38, 852

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 909

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

1, 3, 9, 101, 303, 909

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 852

List of positive integer divisors of 852 that divides 852 without a remainder.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Greatest Common Divisior

We found the divisors of 454, 909, 38, 852 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 909, 38, 852 is 1.

Therefore, GCD of numbers 454, 909, 38, 852 is 1

Given Input Data is 454, 909, 38, 852

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 909 is 3 x 3 x 101

Prime Factorization of 38 is 2 x 19

Prime Factorization of 852 is 2 x 2 x 3 x 71

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(454, 909) = 412686

GCD(454, 909) = ( 454 x 909 ) / 412686

GCD(454, 909) = 412686 / 412686

GCD(454, 909) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 38

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

LCM(1, 38) = 38

GCD(1, 38) = ( 1 x 38 ) / 38

GCD(1, 38) = 38 / 38

GCD(1, 38) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 852

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

LCM(1, 852) = 852

GCD(1, 852) = ( 1 x 852 ) / 852

GCD(1, 852) = 852 / 852

GCD(1, 852) = 1

GCD of 454, 909, 38, 852 is 1

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1. What is the GCD of 454, 909, 38, 852?

GCD of 454, 909, 38, 852 is 1

2. Where do I get the detailed procedure to find GCD of 454, 909, 38, 852?

You can find a detailed procedure to find GCD of 454, 909, 38, 852 on our page.

3. How to find GCD of 454, 909, 38, 852 on a calculator?

You can find the GCD of 454, 909, 38, 852 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.