GCD of 209, 599, 669, 942 Calculator

Given Input numbers are 209, 599, 669, 942

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

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 599

List of positive integer divisors of 599 that divides 599 without a remainder.

1, 599

Divisors of 669

List of positive integer divisors of 669 that divides 669 without a remainder.

1, 3, 223, 669

Divisors of 942

List of positive integer divisors of 942 that divides 942 without a remainder.

1, 2, 3, 6, 157, 314, 471, 942

Greatest Common Divisior

We found the divisors of 209, 599, 669, 942 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 209, 599, 669, 942 is 1.

Therefore, GCD of numbers 209, 599, 669, 942 is 1

Given Input Data is 209, 599, 669, 942

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

Prime Factorization of 209 is 11 x 19

Prime Factorization of 599 is 599

Prime Factorization of 669 is 3 x 223

Prime Factorization of 942 is 2 x 3 x 157

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(209, 599) = 125191

GCD(209, 599) = ( 209 x 599 ) / 125191

GCD(209, 599) = 125191 / 125191

GCD(209, 599) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 669

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

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

GCD(1, 669) = 669 / 669

GCD(1, 669) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 942

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

LCM(1, 942) = 942

GCD(1, 942) = ( 1 x 942 ) / 942

GCD(1, 942) = 942 / 942

GCD(1, 942) = 1

GCD of 209, 599, 669, 942 is 1

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1. What is the GCD of 209, 599, 669, 942?

GCD of 209, 599, 669, 942 is 1

2. Where do I get the detailed procedure to find GCD of 209, 599, 669, 942?

You can find a detailed procedure to find GCD of 209, 599, 669, 942 on our page.

3. How to find GCD of 209, 599, 669, 942 on a calculator?

You can find the GCD of 209, 599, 669, 942 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.