GCD of 17, 460, 782, 681 Calculator

Given Input numbers are 17, 460, 782, 681

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

Divisors of 17

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

1, 17

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 782

List of positive integer divisors of 782 that divides 782 without a remainder.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Greatest Common Divisior

We found the divisors of 17, 460, 782, 681 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 17, 460, 782, 681 is 1.

Therefore, GCD of numbers 17, 460, 782, 681 is 1

Given Input Data is 17, 460, 782, 681

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

Prime Factorization of 17 is 17

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 782 is 2 x 17 x 23

Prime Factorization of 681 is 3 x 227

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(17, 460) = 7820

GCD(17, 460) = ( 17 x 460 ) / 7820

GCD(17, 460) = 7820 / 7820

GCD(17, 460) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 782

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

LCM(1, 782) = 782

GCD(1, 782) = ( 1 x 782 ) / 782

GCD(1, 782) = 782 / 782

GCD(1, 782) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

GCD of 17, 460, 782, 681 is 1

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• GCD of 74, 359, 197, 321
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• GCD of 68, 975, 958, 184

1. What is the GCD of 17, 460, 782, 681?

GCD of 17, 460, 782, 681 is 1

2. Where do I get the detailed procedure to find GCD of 17, 460, 782, 681?

You can find a detailed procedure to find GCD of 17, 460, 782, 681 on our page.

3. How to find GCD of 17, 460, 782, 681 on a calculator?

You can find the GCD of 17, 460, 782, 681 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.