GCD of 107, 842, 853, 519 Calculator

Given Input numbers are 107, 842, 853, 519

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

Divisors of 107

List of positive integer divisors of 107 that divides 107 without a remainder.

1, 107

Divisors of 842

List of positive integer divisors of 842 that divides 842 without a remainder.

1, 2, 421, 842

Divisors of 853

List of positive integer divisors of 853 that divides 853 without a remainder.

1, 853

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 107, 842, 853, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 107, 842, 853, 519 is 1.

Therefore, GCD of numbers 107, 842, 853, 519 is 1

Given Input Data is 107, 842, 853, 519

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

Prime Factorization of 107 is 107

Prime Factorization of 842 is 2 x 421

Prime Factorization of 853 is 853

Prime Factorization of 519 is 3 x 173

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(107, 842) = 90094

GCD(107, 842) = ( 107 x 842 ) / 90094

GCD(107, 842) = 90094 / 90094

GCD(107, 842) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 853

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

LCM(1, 853) = 853

GCD(1, 853) = ( 1 x 853 ) / 853

GCD(1, 853) = 853 / 853

GCD(1, 853) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 519

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

LCM(1, 519) = 519

GCD(1, 519) = ( 1 x 519 ) / 519

GCD(1, 519) = 519 / 519

GCD(1, 519) = 1

GCD of 107, 842, 853, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 259, 147, 225, 527
• GCD of 594, 343, 219, 146
• GCD of 667, 589, 891, 966
• GCD of 986, 789, 338, 731
• GCD of 478, 106, 748, 370

1. What is the GCD of 107, 842, 853, 519?

GCD of 107, 842, 853, 519 is 1

2. Where do I get the detailed procedure to find GCD of 107, 842, 853, 519?

You can find a detailed procedure to find GCD of 107, 842, 853, 519 on our page.

3. How to find GCD of 107, 842, 853, 519 on a calculator?

You can find the GCD of 107, 842, 853, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.