GCD of 688, 871, 82, 255 Calculator

Given Input numbers are 688, 871, 82, 255

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

Divisors of 688

List of positive integer divisors of 688 that divides 688 without a remainder.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 871

List of positive integer divisors of 871 that divides 871 without a remainder.

1, 13, 67, 871

Divisors of 82

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

1, 2, 41, 82

Divisors of 255

List of positive integer divisors of 255 that divides 255 without a remainder.

1, 3, 5, 15, 17, 51, 85, 255

Greatest Common Divisior

We found the divisors of 688, 871, 82, 255 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 688, 871, 82, 255 is 1.

Therefore, GCD of numbers 688, 871, 82, 255 is 1

Given Input Data is 688, 871, 82, 255

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

Prime Factorization of 688 is 2 x 2 x 2 x 2 x 43

Prime Factorization of 871 is 13 x 67

Prime Factorization of 82 is 2 x 41

Prime Factorization of 255 is 3 x 5 x 17

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(688, 871) = 599248

GCD(688, 871) = ( 688 x 871 ) / 599248

GCD(688, 871) = 599248 / 599248

GCD(688, 871) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 82

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

LCM(1, 82) = 82

GCD(1, 82) = ( 1 x 82 ) / 82

GCD(1, 82) = 82 / 82

GCD(1, 82) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 255

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

LCM(1, 255) = 255

GCD(1, 255) = ( 1 x 255 ) / 255

GCD(1, 255) = 255 / 255

GCD(1, 255) = 1

GCD of 688, 871, 82, 255 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 728, 15, 601
• GCD of 401, 944, 33, 495
• GCD of 335, 583, 49, 291
• GCD of 883, 581, 66, 403
• GCD of 976, 365, 53, 409

1. What is the GCD of 688, 871, 82, 255?

GCD of 688, 871, 82, 255 is 1

2. Where do I get the detailed procedure to find GCD of 688, 871, 82, 255?

You can find a detailed procedure to find GCD of 688, 871, 82, 255 on our page.

3. How to find GCD of 688, 871, 82, 255 on a calculator?

You can find the GCD of 688, 871, 82, 255 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.