GCD of 82, 931, 228, 826 Calculator

Given Input numbers are 82, 931, 228, 826

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

Divisors of 82

List of positive integer divisors of 82 that divides 82 without a remainder.

1, 2, 41, 82

Divisors of 931

List of positive integer divisors of 931 that divides 931 without a remainder.

1, 7, 19, 49, 133, 931

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

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 82, 931, 228, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 931, 228, 826 is 1.

Therefore, GCD of numbers 82, 931, 228, 826 is 1

Given Input Data is 82, 931, 228, 826

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 931 is 7 x 7 x 19

Prime Factorization of 228 is 2 x 2 x 3 x 19

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(82, 931) = 76342

GCD(82, 931) = ( 82 x 931 ) / 76342

GCD(82, 931) = 76342 / 76342

GCD(82, 931) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 228

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

LCM(1, 228) = 228

GCD(1, 228) = ( 1 x 228 ) / 228

GCD(1, 228) = 228 / 228

GCD(1, 228) = 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 82, 931, 228, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 86, 151, 251, 235
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• GCD of 29, 450, 537, 771
• GCD of 87, 682, 312, 920

1. What is the GCD of 82, 931, 228, 826?

GCD of 82, 931, 228, 826 is 1

2. Where do I get the detailed procedure to find GCD of 82, 931, 228, 826?

You can find a detailed procedure to find GCD of 82, 931, 228, 826 on our page.

3. How to find GCD of 82, 931, 228, 826 on a calculator?

You can find the GCD of 82, 931, 228, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.