GCD of 102, 305, 260 Calculator

Given Input numbers are 102, 305, 260

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

Divisors of 102

List of positive integer divisors of 102 that divides 102 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 305

List of positive integer divisors of 305 that divides 305 without a remainder.

1, 5, 61, 305

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

Greatest Common Divisior

We found the divisors of 102, 305, 260 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 102, 305, 260 is 1.

Therefore, GCD of numbers 102, 305, 260 is 1

Given Input Data is 102, 305, 260

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

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 305 is 5 x 61

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

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(102, 305) = 31110

GCD(102, 305) = ( 102 x 305 ) / 31110

GCD(102, 305) = 31110 / 31110

GCD(102, 305) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 260

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

LCM(1, 260) = 260

GCD(1, 260) = ( 1 x 260 ) / 260

GCD(1, 260) = 260 / 260

GCD(1, 260) = 1

GCD of 102, 305, 260 is 1

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1. What is the GCD of 102, 305, 260?

GCD of 102, 305, 260 is 1

2. Where do I get the detailed procedure to find GCD of 102, 305, 260?

You can find a detailed procedure to find GCD of 102, 305, 260 on our page.

3. How to find GCD of 102, 305, 260 on a calculator?

You can find the GCD of 102, 305, 260 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.