GCD of 871, 822, 17, 688 Calculator

Given Input numbers are 871, 822, 17, 688

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

Divisors of 871

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

1, 13, 67, 871

Divisors of 822

List of positive integer divisors of 822 that divides 822 without a remainder.

1, 2, 3, 6, 137, 274, 411, 822

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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

Greatest Common Divisior

We found the divisors of 871, 822, 17, 688 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 871, 822, 17, 688 is 1.

Therefore, GCD of numbers 871, 822, 17, 688 is 1

Given Input Data is 871, 822, 17, 688

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

Prime Factorization of 871 is 13 x 67

Prime Factorization of 822 is 2 x 3 x 137

Prime Factorization of 17 is 17

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

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(871, 822) = 715962

GCD(871, 822) = ( 871 x 822 ) / 715962

GCD(871, 822) = 715962 / 715962

GCD(871, 822) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 17

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

LCM(1, 17) = 17

GCD(1, 17) = ( 1 x 17 ) / 17

GCD(1, 17) = 17 / 17

GCD(1, 17) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 688

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

LCM(1, 688) = 688

GCD(1, 688) = ( 1 x 688 ) / 688

GCD(1, 688) = 688 / 688

GCD(1, 688) = 1

GCD of 871, 822, 17, 688 is 1

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1. What is the GCD of 871, 822, 17, 688?

GCD of 871, 822, 17, 688 is 1

2. Where do I get the detailed procedure to find GCD of 871, 822, 17, 688?

You can find a detailed procedure to find GCD of 871, 822, 17, 688 on our page.

3. How to find GCD of 871, 822, 17, 688 on a calculator?

You can find the GCD of 871, 822, 17, 688 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.