GCD of 456, 394, 899, 470 Calculator

Given Input numbers are 456, 394, 899, 470

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 899

List of positive integer divisors of 899 that divides 899 without a remainder.

1, 29, 31, 899

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 456, 394, 899, 470 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 394, 899, 470 is 1.

Therefore, GCD of numbers 456, 394, 899, 470 is 1

Given Input Data is 456, 394, 899, 470

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 394 is 2 x 197

Prime Factorization of 899 is 29 x 31

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(456, 394) = 89832

GCD(456, 394) = ( 456 x 394 ) / 89832

GCD(456, 394) = 179664 / 89832

GCD(456, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 899

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

LCM(2, 899) = 1798

GCD(2, 899) = ( 2 x 899 ) / 1798

GCD(2, 899) = 1798 / 1798

GCD(2, 899) = 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 456, 394, 899, 470 is 1

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• GCD of 201, 749, 348, 800
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1. What is the GCD of 456, 394, 899, 470?

GCD of 456, 394, 899, 470 is 1

2. Where do I get the detailed procedure to find GCD of 456, 394, 899, 470?

You can find a detailed procedure to find GCD of 456, 394, 899, 470 on our page.

3. How to find GCD of 456, 394, 899, 470 on a calculator?

You can find the GCD of 456, 394, 899, 470 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.