GCD of 285, 308, 20, 826 Calculator

Given Input numbers are 285, 308, 20, 826

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

Divisors of 285

List of positive integer divisors of 285 that divides 285 without a remainder.

1, 3, 5, 15, 19, 57, 95, 285

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 826

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

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

Greatest Common Divisior

We found the divisors of 285, 308, 20, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 285, 308, 20, 826 is 1.

Therefore, GCD of numbers 285, 308, 20, 826 is 1

Given Input Data is 285, 308, 20, 826

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

Prime Factorization of 285 is 3 x 5 x 19

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 826 is 2 x 7 x 59

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(285, 308) = 87780

GCD(285, 308) = ( 285 x 308 ) / 87780

GCD(285, 308) = 87780 / 87780

GCD(285, 308) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 826

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

LCM(1, 826) = 826

GCD(1, 826) = ( 1 x 826 ) / 826

GCD(1, 826) = 826 / 826

GCD(1, 826) = 1

GCD of 285, 308, 20, 826 is 1

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• GCD of 625, 979, 10, 185
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• GCD of 434, 331, 85, 286

1. What is the GCD of 285, 308, 20, 826?

GCD of 285, 308, 20, 826 is 1

2. Where do I get the detailed procedure to find GCD of 285, 308, 20, 826?

You can find a detailed procedure to find GCD of 285, 308, 20, 826 on our page.

3. How to find GCD of 285, 308, 20, 826 on a calculator?

You can find the GCD of 285, 308, 20, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.