GCD of 460, 669, 71, 819 Calculator

Given Input numbers are 460, 669, 71, 819

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 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 71

List of positive integer divisors of 71 that divides 71 without a remainder.

1, 71

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Greatest Common Divisior

We found the divisors of 460, 669, 71, 819 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 669, 71, 819 is 1.

Therefore, GCD of numbers 460, 669, 71, 819 is 1

Given Input Data is 460, 669, 71, 819

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 669 is 3 x 223

Prime Factorization of 71 is 71

Prime Factorization of 819 is 3 x 3 x 7 x 13

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, 669) = 307740

GCD(460, 669) = ( 460 x 669 ) / 307740

GCD(460, 669) = 307740 / 307740

GCD(460, 669) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 71

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

LCM(1, 71) = 71

GCD(1, 71) = ( 1 x 71 ) / 71

GCD(1, 71) = 71 / 71

GCD(1, 71) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 819

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

LCM(1, 819) = 819

GCD(1, 819) = ( 1 x 819 ) / 819

GCD(1, 819) = 819 / 819

GCD(1, 819) = 1

GCD of 460, 669, 71, 819 is 1

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• GCD of 208, 897, 95, 591
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• GCD of 233, 638, 42, 433

1. What is the GCD of 460, 669, 71, 819?

GCD of 460, 669, 71, 819 is 1

2. Where do I get the detailed procedure to find GCD of 460, 669, 71, 819?

You can find a detailed procedure to find GCD of 460, 669, 71, 819 on our page.

3. How to find GCD of 460, 669, 71, 819 on a calculator?

You can find the GCD of 460, 669, 71, 819 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.