GCD of 58, 605, 628, 826 Calculator

Given Input numbers are 58, 605, 628, 826

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

Divisors of 58

List of positive integer divisors of 58 that divides 58 without a remainder.

1, 2, 29, 58

Divisors of 605

List of positive integer divisors of 605 that divides 605 without a remainder.

1, 5, 11, 55, 121, 605

Divisors of 628

List of positive integer divisors of 628 that divides 628 without a remainder.

1, 2, 4, 157, 314, 628

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 58, 605, 628, 826 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 58, 605, 628, 826 is 1.

Therefore, GCD of numbers 58, 605, 628, 826 is 1

Given Input Data is 58, 605, 628, 826

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

Prime Factorization of 58 is 2 x 29

Prime Factorization of 605 is 5 x 11 x 11

Prime Factorization of 628 is 2 x 2 x 157

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(58, 605) = 35090

GCD(58, 605) = ( 58 x 605 ) / 35090

GCD(58, 605) = 35090 / 35090

GCD(58, 605) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 628

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

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

GCD(1, 628) = 628 / 628

GCD(1, 628) = 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 58, 605, 628, 826 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 40, 846, 266, 227
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• GCD of 90, 692, 613, 116
• GCD of 80, 731, 553, 936
• GCD of 18, 298, 744, 309

1. What is the GCD of 58, 605, 628, 826?

GCD of 58, 605, 628, 826 is 1

2. Where do I get the detailed procedure to find GCD of 58, 605, 628, 826?

You can find a detailed procedure to find GCD of 58, 605, 628, 826 on our page.

3. How to find GCD of 58, 605, 628, 826 on a calculator?

You can find the GCD of 58, 605, 628, 826 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.