GCD of 82, 260, 527, 302 Calculator

Given Input numbers are 82, 260, 527, 302

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 260

List of positive integer divisors of 260 that divides 260 without a remainder.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 527

List of positive integer divisors of 527 that divides 527 without a remainder.

1, 17, 31, 527

Divisors of 302

List of positive integer divisors of 302 that divides 302 without a remainder.

1, 2, 151, 302

Greatest Common Divisior

We found the divisors of 82, 260, 527, 302 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 82, 260, 527, 302 is 1.

Therefore, GCD of numbers 82, 260, 527, 302 is 1

Given Input Data is 82, 260, 527, 302

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

Prime Factorization of 82 is 2 x 41

Prime Factorization of 260 is 2 x 2 x 5 x 13

Prime Factorization of 527 is 17 x 31

Prime Factorization of 302 is 2 x 151

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, 260) = 10660

GCD(82, 260) = ( 82 x 260 ) / 10660

GCD(82, 260) = 21320 / 10660

GCD(82, 260) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 527

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

LCM(2, 527) = 1054

GCD(2, 527) = ( 2 x 527 ) / 1054

GCD(2, 527) = 1054 / 1054

GCD(2, 527) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 302

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

LCM(1, 302) = 302

GCD(1, 302) = ( 1 x 302 ) / 302

GCD(1, 302) = 302 / 302

GCD(1, 302) = 1

GCD of 82, 260, 527, 302 is 1

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1. What is the GCD of 82, 260, 527, 302?

GCD of 82, 260, 527, 302 is 1

2. Where do I get the detailed procedure to find GCD of 82, 260, 527, 302?

You can find a detailed procedure to find GCD of 82, 260, 527, 302 on our page.

3. How to find GCD of 82, 260, 527, 302 on a calculator?

You can find the GCD of 82, 260, 527, 302 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.