GCD of 19, 869, 659, 313 Calculator

Given Input numbers are 19, 869, 659, 313

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

Divisors of 19

List of positive integer divisors of 19 that divides 19 without a remainder.

1, 19

Divisors of 869

List of positive integer divisors of 869 that divides 869 without a remainder.

1, 11, 79, 869

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 313

List of positive integer divisors of 313 that divides 313 without a remainder.

1, 313

Greatest Common Divisior

We found the divisors of 19, 869, 659, 313 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 19, 869, 659, 313 is 1.

Therefore, GCD of numbers 19, 869, 659, 313 is 1

Given Input Data is 19, 869, 659, 313

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

Prime Factorization of 19 is 19

Prime Factorization of 869 is 11 x 79

Prime Factorization of 659 is 659

Prime Factorization of 313 is 313

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(19, 869) = 16511

GCD(19, 869) = ( 19 x 869 ) / 16511

GCD(19, 869) = 16511 / 16511

GCD(19, 869) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 313

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

LCM(1, 313) = 313

GCD(1, 313) = ( 1 x 313 ) / 313

GCD(1, 313) = 313 / 313

GCD(1, 313) = 1

GCD of 19, 869, 659, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 52, 207, 442, 379
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• GCD of 31, 265, 741, 285
• GCD of 40, 740, 410, 239
• GCD of 87, 128, 579, 196

1. What is the GCD of 19, 869, 659, 313?

GCD of 19, 869, 659, 313 is 1

2. Where do I get the detailed procedure to find GCD of 19, 869, 659, 313?

You can find a detailed procedure to find GCD of 19, 869, 659, 313 on our page.

3. How to find GCD of 19, 869, 659, 313 on a calculator?

You can find the GCD of 19, 869, 659, 313 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.