GCD of 826, 122, 19, 460 Calculator

Given Input numbers are 826, 122, 19, 460

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 122

List of positive integer divisors of 122 that divides 122 without a remainder.

1, 2, 61, 122

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

Greatest Common Divisior

We found the divisors of 826, 122, 19, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 826, 122, 19, 460 is 1.

Therefore, GCD of numbers 826, 122, 19, 460 is 1

Given Input Data is 826, 122, 19, 460

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 122 is 2 x 61

Prime Factorization of 19 is 19

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

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, 122) = 50386

GCD(826, 122) = ( 826 x 122 ) / 50386

GCD(826, 122) = 100772 / 50386

GCD(826, 122) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 19

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

LCM(2, 19) = 38

GCD(2, 19) = ( 2 x 19 ) / 38

GCD(2, 19) = 38 / 38

GCD(2, 19) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 460

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

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

GCD(1, 460) = 460 / 460

GCD(1, 460) = 1

GCD of 826, 122, 19, 460 is 1

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• GCD of 775, 488, 60, 265
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1. What is the GCD of 826, 122, 19, 460?

GCD of 826, 122, 19, 460 is 1

2. Where do I get the detailed procedure to find GCD of 826, 122, 19, 460?

You can find a detailed procedure to find GCD of 826, 122, 19, 460 on our page.

3. How to find GCD of 826, 122, 19, 460 on a calculator?

You can find the GCD of 826, 122, 19, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.