GCD of 82, 394, 959, 307 Calculator

Given Input numbers are 82, 394, 959, 307

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 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 959

List of positive integer divisors of 959 that divides 959 without a remainder.

1, 7, 137, 959

Divisors of 307

List of positive integer divisors of 307 that divides 307 without a remainder.

1, 307

Greatest Common Divisior

We found the divisors of 82, 394, 959, 307 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 394, 959, 307 is 1.

Therefore, GCD of numbers 82, 394, 959, 307 is 1

Given Input Data is 82, 394, 959, 307

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 394 is 2 x 197

Prime Factorization of 959 is 7 x 137

Prime Factorization of 307 is 307

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, 394) = 16154

GCD(82, 394) = ( 82 x 394 ) / 16154

GCD(82, 394) = 32308 / 16154

GCD(82, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 959

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

LCM(2, 959) = 1918

GCD(2, 959) = ( 2 x 959 ) / 1918

GCD(2, 959) = 1918 / 1918

GCD(2, 959) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 307

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

LCM(1, 307) = 307

GCD(1, 307) = ( 1 x 307 ) / 307

GCD(1, 307) = 307 / 307

GCD(1, 307) = 1

GCD of 82, 394, 959, 307 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 35, 280, 461, 619
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• GCD of 26, 571, 546, 164
• GCD of 86, 961, 349, 389

1. What is the GCD of 82, 394, 959, 307?

GCD of 82, 394, 959, 307 is 1

2. Where do I get the detailed procedure to find GCD of 82, 394, 959, 307?

You can find a detailed procedure to find GCD of 82, 394, 959, 307 on our page.

3. How to find GCD of 82, 394, 959, 307 on a calculator?

You can find the GCD of 82, 394, 959, 307 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.