GCD of 819, 830, 919, 252 Calculator

Given Input numbers are 819, 830, 919, 252

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

Divisors of 819

List of positive integer divisors of 819 that divides 819 without a remainder.

1, 3, 7, 9, 13, 21, 39, 63, 91, 117, 273, 819

Divisors of 830

List of positive integer divisors of 830 that divides 830 without a remainder.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Greatest Common Divisior

We found the divisors of 819, 830, 919, 252 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 819, 830, 919, 252 is 1.

Therefore, GCD of numbers 819, 830, 919, 252 is 1

Given Input Data is 819, 830, 919, 252

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

Prime Factorization of 819 is 3 x 3 x 7 x 13

Prime Factorization of 830 is 2 x 5 x 83

Prime Factorization of 919 is 919

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

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(819, 830) = 679770

GCD(819, 830) = ( 819 x 830 ) / 679770

GCD(819, 830) = 679770 / 679770

GCD(819, 830) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 919

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

LCM(1, 919) = 919

GCD(1, 919) = ( 1 x 919 ) / 919

GCD(1, 919) = 919 / 919

GCD(1, 919) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 252

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

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

GCD(1, 252) = 252 / 252

GCD(1, 252) = 1

GCD of 819, 830, 919, 252 is 1

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1. What is the GCD of 819, 830, 919, 252?

GCD of 819, 830, 919, 252 is 1

2. Where do I get the detailed procedure to find GCD of 819, 830, 919, 252?

You can find a detailed procedure to find GCD of 819, 830, 919, 252 on our page.

3. How to find GCD of 819, 830, 919, 252 on a calculator?

You can find the GCD of 819, 830, 919, 252 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.