GCD of 19, 460, 667, 379 Calculator

Given Input numbers are 19, 460, 667, 379

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

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 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 379

List of positive integer divisors of 379 that divides 379 without a remainder.

1, 379

Greatest Common Divisior

We found the divisors of 19, 460, 667, 379 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 460, 667, 379 is 1.

Therefore, GCD of numbers 19, 460, 667, 379 is 1

Given Input Data is 19, 460, 667, 379

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

Prime Factorization of 19 is 19

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

Prime Factorization of 667 is 23 x 29

Prime Factorization of 379 is 379

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(19, 460) = 8740

GCD(19, 460) = ( 19 x 460 ) / 8740

GCD(19, 460) = 8740 / 8740

GCD(19, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 667

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

LCM(1, 667) = 667

GCD(1, 667) = ( 1 x 667 ) / 667

GCD(1, 667) = 667 / 667

GCD(1, 667) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 379

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

LCM(1, 379) = 379

GCD(1, 379) = ( 1 x 379 ) / 379

GCD(1, 379) = 379 / 379

GCD(1, 379) = 1

GCD of 19, 460, 667, 379 is 1

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• GCD of 19, 304, 553, 134
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1. What is the GCD of 19, 460, 667, 379?

GCD of 19, 460, 667, 379 is 1

2. Where do I get the detailed procedure to find GCD of 19, 460, 667, 379?

You can find a detailed procedure to find GCD of 19, 460, 667, 379 on our page.

3. How to find GCD of 19, 460, 667, 379 on a calculator?

You can find the GCD of 19, 460, 667, 379 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.