GCD of 219, 195, 946, 689 Calculator

Given Input numbers are 219, 195, 946, 689

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

Divisors of 219

List of positive integer divisors of 219 that divides 219 without a remainder.

1, 3, 73, 219

Divisors of 195

List of positive integer divisors of 195 that divides 195 without a remainder.

1, 3, 5, 13, 15, 39, 65, 195

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 689

List of positive integer divisors of 689 that divides 689 without a remainder.

1, 13, 53, 689

Greatest Common Divisior

We found the divisors of 219, 195, 946, 689 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 219, 195, 946, 689 is 1.

Therefore, GCD of numbers 219, 195, 946, 689 is 1

Given Input Data is 219, 195, 946, 689

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

Prime Factorization of 219 is 3 x 73

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 689 is 13 x 53

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(219, 195) = 14235

GCD(219, 195) = ( 219 x 195 ) / 14235

GCD(219, 195) = 42705 / 14235

GCD(219, 195) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 946

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

LCM(3, 946) = 2838

GCD(3, 946) = ( 3 x 946 ) / 2838

GCD(3, 946) = 2838 / 2838

GCD(3, 946) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 689

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

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

GCD(1, 689) = 689 / 689

GCD(1, 689) = 1

GCD of 219, 195, 946, 689 is 1

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1. What is the GCD of 219, 195, 946, 689?

GCD of 219, 195, 946, 689 is 1

2. Where do I get the detailed procedure to find GCD of 219, 195, 946, 689?

You can find a detailed procedure to find GCD of 219, 195, 946, 689 on our page.

3. How to find GCD of 219, 195, 946, 689 on a calculator?

You can find the GCD of 219, 195, 946, 689 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.