GCD of 792, 419, 913, 205 Calculator

Given Input numbers are 792, 419, 913, 205

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

Divisors of 792

List of positive integer divisors of 792 that divides 792 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

Divisors of 419

List of positive integer divisors of 419 that divides 419 without a remainder.

1, 419

Divisors of 913

List of positive integer divisors of 913 that divides 913 without a remainder.

1, 11, 83, 913

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 792, 419, 913, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 792, 419, 913, 205 is 1.

Therefore, GCD of numbers 792, 419, 913, 205 is 1

Given Input Data is 792, 419, 913, 205

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

Prime Factorization of 792 is 2 x 2 x 2 x 3 x 3 x 11

Prime Factorization of 419 is 419

Prime Factorization of 913 is 11 x 83

Prime Factorization of 205 is 5 x 41

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(792, 419) = 331848

GCD(792, 419) = ( 792 x 419 ) / 331848

GCD(792, 419) = 331848 / 331848

GCD(792, 419) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 913

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

LCM(1, 913) = 913

GCD(1, 913) = ( 1 x 913 ) / 913

GCD(1, 913) = 913 / 913

GCD(1, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 205

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

LCM(1, 205) = 205

GCD(1, 205) = ( 1 x 205 ) / 205

GCD(1, 205) = 205 / 205

GCD(1, 205) = 1

GCD of 792, 419, 913, 205 is 1

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1. What is the GCD of 792, 419, 913, 205?

GCD of 792, 419, 913, 205 is 1

2. Where do I get the detailed procedure to find GCD of 792, 419, 913, 205?

You can find a detailed procedure to find GCD of 792, 419, 913, 205 on our page.

3. How to find GCD of 792, 419, 913, 205 on a calculator?

You can find the GCD of 792, 419, 913, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.