GCD of 428, 871, 17, 694 Calculator

Given Input numbers are 428, 871, 17, 694

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

Divisors of 428

List of positive integer divisors of 428 that divides 428 without a remainder.

1, 2, 4, 107, 214, 428

Divisors of 871

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

1, 13, 67, 871

Divisors of 17

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

1, 17

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 428, 871, 17, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 428, 871, 17, 694 is 1.

Therefore, GCD of numbers 428, 871, 17, 694 is 1

Given Input Data is 428, 871, 17, 694

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

Prime Factorization of 428 is 2 x 2 x 107

Prime Factorization of 871 is 13 x 67

Prime Factorization of 17 is 17

Prime Factorization of 694 is 2 x 347

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(428, 871) = 372788

GCD(428, 871) = ( 428 x 871 ) / 372788

GCD(428, 871) = 372788 / 372788

GCD(428, 871) = 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 694

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

LCM(1, 694) = 694

GCD(1, 694) = ( 1 x 694 ) / 694

GCD(1, 694) = 694 / 694

GCD(1, 694) = 1

GCD of 428, 871, 17, 694 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 398, 248, 71, 171
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• GCD of 304, 654, 26, 874

1. What is the GCD of 428, 871, 17, 694?

GCD of 428, 871, 17, 694 is 1

2. Where do I get the detailed procedure to find GCD of 428, 871, 17, 694?

You can find a detailed procedure to find GCD of 428, 871, 17, 694 on our page.

3. How to find GCD of 428, 871, 17, 694 on a calculator?

You can find the GCD of 428, 871, 17, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.