GCD of 170, 682, 51, 596 Calculator

Given Input numbers are 170, 682, 51, 596

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

Divisors of 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 682

List of positive integer divisors of 682 that divides 682 without a remainder.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 51

List of positive integer divisors of 51 that divides 51 without a remainder.

1, 3, 17, 51

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 170, 682, 51, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 170, 682, 51, 596 is 1.

Therefore, GCD of numbers 170, 682, 51, 596 is 1

Given Input Data is 170, 682, 51, 596

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

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 682 is 2 x 11 x 31

Prime Factorization of 51 is 3 x 17

Prime Factorization of 596 is 2 x 2 x 149

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(170, 682) = 57970

GCD(170, 682) = ( 170 x 682 ) / 57970

GCD(170, 682) = 115940 / 57970

GCD(170, 682) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 51

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

LCM(2, 51) = 102

GCD(2, 51) = ( 2 x 51 ) / 102

GCD(2, 51) = 102 / 102

GCD(2, 51) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 170, 682, 51, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 287, 645, 73, 680
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• GCD of 681, 234, 22, 102

1. What is the GCD of 170, 682, 51, 596?

GCD of 170, 682, 51, 596 is 1

2. Where do I get the detailed procedure to find GCD of 170, 682, 51, 596?

You can find a detailed procedure to find GCD of 170, 682, 51, 596 on our page.

3. How to find GCD of 170, 682, 51, 596 on a calculator?

You can find the GCD of 170, 682, 51, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.