GCD of 838, 519, 21, 869 Calculator

Given Input numbers are 838, 519, 21, 869

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

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 519

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

1, 3, 173, 519

Divisors of 21

List of positive integer divisors of 21 that divides 21 without a remainder.

1, 3, 7, 21

Divisors of 869

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

1, 11, 79, 869

Greatest Common Divisior

We found the divisors of 838, 519, 21, 869 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 838, 519, 21, 869 is 1.

Therefore, GCD of numbers 838, 519, 21, 869 is 1

Given Input Data is 838, 519, 21, 869

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

Prime Factorization of 838 is 2 x 419

Prime Factorization of 519 is 3 x 173

Prime Factorization of 21 is 3 x 7

Prime Factorization of 869 is 11 x 79

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(838, 519) = 434922

GCD(838, 519) = ( 838 x 519 ) / 434922

GCD(838, 519) = 434922 / 434922

GCD(838, 519) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 21

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

LCM(1, 21) = 21

GCD(1, 21) = ( 1 x 21 ) / 21

GCD(1, 21) = 21 / 21

GCD(1, 21) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 869

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

LCM(1, 869) = 869

GCD(1, 869) = ( 1 x 869 ) / 869

GCD(1, 869) = 869 / 869

GCD(1, 869) = 1

GCD of 838, 519, 21, 869 is 1

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1. What is the GCD of 838, 519, 21, 869?

GCD of 838, 519, 21, 869 is 1

2. Where do I get the detailed procedure to find GCD of 838, 519, 21, 869?

You can find a detailed procedure to find GCD of 838, 519, 21, 869 on our page.

3. How to find GCD of 838, 519, 21, 869 on a calculator?

You can find the GCD of 838, 519, 21, 869 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.