GCD of 854, 460, 20, 411 Calculator

Given Input numbers are 854, 460, 20, 411

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

Divisors of 854

List of positive integer divisors of 854 that divides 854 without a remainder.

1, 2, 7, 14, 61, 122, 427, 854

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 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 411

List of positive integer divisors of 411 that divides 411 without a remainder.

1, 3, 137, 411

Greatest Common Divisior

We found the divisors of 854, 460, 20, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 460, 20, 411 is 1.

Therefore, GCD of numbers 854, 460, 20, 411 is 1

Given Input Data is 854, 460, 20, 411

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

Prime Factorization of 854 is 2 x 7 x 61

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 411 is 3 x 137

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(854, 460) = 196420

GCD(854, 460) = ( 854 x 460 ) / 196420

GCD(854, 460) = 392840 / 196420

GCD(854, 460) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 20

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

LCM(2, 20) = 20

GCD(2, 20) = ( 2 x 20 ) / 20

GCD(2, 20) = 40 / 20

GCD(2, 20) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 411

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

LCM(2, 411) = 822

GCD(2, 411) = ( 2 x 411 ) / 822

GCD(2, 411) = 822 / 822

GCD(2, 411) = 1

GCD of 854, 460, 20, 411 is 1

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• GCD of 639, 188, 96, 558
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1. What is the GCD of 854, 460, 20, 411?

GCD of 854, 460, 20, 411 is 1

2. Where do I get the detailed procedure to find GCD of 854, 460, 20, 411?

You can find a detailed procedure to find GCD of 854, 460, 20, 411 on our page.

3. How to find GCD of 854, 460, 20, 411 on a calculator?

You can find the GCD of 854, 460, 20, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.