GCD of 826, 868, 460, 423 Calculator

Given Input numbers are 826, 868, 460, 423

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

Divisors of 826

List of positive integer divisors of 826 that divides 826 without a remainder.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 868

List of positive integer divisors of 868 that divides 868 without a remainder.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

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 423

List of positive integer divisors of 423 that divides 423 without a remainder.

1, 3, 9, 47, 141, 423

Greatest Common Divisior

We found the divisors of 826, 868, 460, 423 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 868, 460, 423 is 1.

Therefore, GCD of numbers 826, 868, 460, 423 is 1

Given Input Data is 826, 868, 460, 423

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

Prime Factorization of 826 is 2 x 7 x 59

Prime Factorization of 868 is 2 x 2 x 7 x 31

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

Prime Factorization of 423 is 3 x 3 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(826, 868) = 51212

GCD(826, 868) = ( 826 x 868 ) / 51212

GCD(826, 868) = 716968 / 51212

GCD(826, 868) = 14

Step2:

Here we consider the GCD from the above i.e. 14 as first number and the next as 460

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

LCM(14, 460) = 3220

GCD(14, 460) = ( 14 x 460 ) / 3220

GCD(14, 460) = 6440 / 3220

GCD(14, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 423

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

LCM(2, 423) = 846

GCD(2, 423) = ( 2 x 423 ) / 846

GCD(2, 423) = 846 / 846

GCD(2, 423) = 1

GCD of 826, 868, 460, 423 is 1

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1. What is the GCD of 826, 868, 460, 423?

GCD of 826, 868, 460, 423 is 1

2. Where do I get the detailed procedure to find GCD of 826, 868, 460, 423?

You can find a detailed procedure to find GCD of 826, 868, 460, 423 on our page.

3. How to find GCD of 826, 868, 460, 423 on a calculator?

You can find the GCD of 826, 868, 460, 423 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.