GCD of 609, 364, 913, 992 Calculator

Given Input numbers are 609, 364, 913, 992

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

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 913

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

1, 11, 83, 913

Divisors of 992

List of positive integer divisors of 992 that divides 992 without a remainder.

1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992

Greatest Common Divisior

We found the divisors of 609, 364, 913, 992 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 609, 364, 913, 992 is 1.

Therefore, GCD of numbers 609, 364, 913, 992 is 1

Given Input Data is 609, 364, 913, 992

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

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 364 is 2 x 2 x 7 x 13

Prime Factorization of 913 is 11 x 83

Prime Factorization of 992 is 2 x 2 x 2 x 2 x 2 x 31

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(609, 364) = 31668

GCD(609, 364) = ( 609 x 364 ) / 31668

GCD(609, 364) = 221676 / 31668

GCD(609, 364) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 913

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

LCM(7, 913) = 6391

GCD(7, 913) = ( 7 x 913 ) / 6391

GCD(7, 913) = 6391 / 6391

GCD(7, 913) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 992

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

LCM(1, 992) = 992

GCD(1, 992) = ( 1 x 992 ) / 992

GCD(1, 992) = 992 / 992

GCD(1, 992) = 1

GCD of 609, 364, 913, 992 is 1

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1. What is the GCD of 609, 364, 913, 992?

GCD of 609, 364, 913, 992 is 1

2. Where do I get the detailed procedure to find GCD of 609, 364, 913, 992?

You can find a detailed procedure to find GCD of 609, 364, 913, 992 on our page.

3. How to find GCD of 609, 364, 913, 992 on a calculator?

You can find the GCD of 609, 364, 913, 992 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.