GCD of 308, 902, 82, 415 Calculator

Given Input numbers are 308, 902, 82, 415

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

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 902

List of positive integer divisors of 902 that divides 902 without a remainder.

1, 2, 11, 22, 41, 82, 451, 902

Divisors of 82

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

1, 2, 41, 82

Divisors of 415

List of positive integer divisors of 415 that divides 415 without a remainder.

1, 5, 83, 415

Greatest Common Divisior

We found the divisors of 308, 902, 82, 415 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 308, 902, 82, 415 is 1.

Therefore, GCD of numbers 308, 902, 82, 415 is 1

Given Input Data is 308, 902, 82, 415

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

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

Prime Factorization of 902 is 2 x 11 x 41

Prime Factorization of 82 is 2 x 41

Prime Factorization of 415 is 5 x 83

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(308, 902) = 12628

GCD(308, 902) = ( 308 x 902 ) / 12628

GCD(308, 902) = 277816 / 12628

GCD(308, 902) = 22

Step2:

Here we consider the GCD from the above i.e. 22 as first number and the next as 82

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

LCM(22, 82) = 902

GCD(22, 82) = ( 22 x 82 ) / 902

GCD(22, 82) = 1804 / 902

GCD(22, 82) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 415

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

LCM(2, 415) = 830

GCD(2, 415) = ( 2 x 415 ) / 830

GCD(2, 415) = 830 / 830

GCD(2, 415) = 1

GCD of 308, 902, 82, 415 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 201, 45, 591
• GCD of 411, 395, 38, 992
• GCD of 562, 311, 46, 187
• GCD of 144, 175, 75, 102
• GCD of 629, 692, 22, 814

1. What is the GCD of 308, 902, 82, 415?

GCD of 308, 902, 82, 415 is 1

2. Where do I get the detailed procedure to find GCD of 308, 902, 82, 415?

You can find a detailed procedure to find GCD of 308, 902, 82, 415 on our page.

3. How to find GCD of 308, 902, 82, 415 on a calculator?

You can find the GCD of 308, 902, 82, 415 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.