GCD of 259, 102, 80, 662 Calculator

Given Input numbers are 259, 102, 80, 662

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

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

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 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Greatest Common Divisior

We found the divisors of 259, 102, 80, 662 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 259, 102, 80, 662 is 1.

Therefore, GCD of numbers 259, 102, 80, 662 is 1

Given Input Data is 259, 102, 80, 662

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

Prime Factorization of 259 is 7 x 37

Prime Factorization of 102 is 2 x 3 x 17

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 662 is 2 x 331

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(259, 102) = 26418

GCD(259, 102) = ( 259 x 102 ) / 26418

GCD(259, 102) = 26418 / 26418

GCD(259, 102) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 80

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

LCM(1, 80) = 80

GCD(1, 80) = ( 1 x 80 ) / 80

GCD(1, 80) = 80 / 80

GCD(1, 80) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 662

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

LCM(1, 662) = 662

GCD(1, 662) = ( 1 x 662 ) / 662

GCD(1, 662) = 662 / 662

GCD(1, 662) = 1

GCD of 259, 102, 80, 662 is 1

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1. What is the GCD of 259, 102, 80, 662?

GCD of 259, 102, 80, 662 is 1

2. Where do I get the detailed procedure to find GCD of 259, 102, 80, 662?

You can find a detailed procedure to find GCD of 259, 102, 80, 662 on our page.

3. How to find GCD of 259, 102, 80, 662 on a calculator?

You can find the GCD of 259, 102, 80, 662 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.