GCD of 195, 985, 468, 706 Calculator

Given Input numbers are 195, 985, 468, 706

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

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 985

List of positive integer divisors of 985 that divides 985 without a remainder.

1, 5, 197, 985

Divisors of 468

List of positive integer divisors of 468 that divides 468 without a remainder.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Greatest Common Divisior

We found the divisors of 195, 985, 468, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 195, 985, 468, 706 is 1.

Therefore, GCD of numbers 195, 985, 468, 706 is 1

Given Input Data is 195, 985, 468, 706

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

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 985 is 5 x 197

Prime Factorization of 468 is 2 x 2 x 3 x 3 x 13

Prime Factorization of 706 is 2 x 353

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(195, 985) = 38415

GCD(195, 985) = ( 195 x 985 ) / 38415

GCD(195, 985) = 192075 / 38415

GCD(195, 985) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 468

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

LCM(5, 468) = 2340

GCD(5, 468) = ( 5 x 468 ) / 2340

GCD(5, 468) = 2340 / 2340

GCD(5, 468) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 706

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

LCM(1, 706) = 706

GCD(1, 706) = ( 1 x 706 ) / 706

GCD(1, 706) = 706 / 706

GCD(1, 706) = 1

GCD of 195, 985, 468, 706 is 1

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1. What is the GCD of 195, 985, 468, 706?

GCD of 195, 985, 468, 706 is 1

2. Where do I get the detailed procedure to find GCD of 195, 985, 468, 706?

You can find a detailed procedure to find GCD of 195, 985, 468, 706 on our page.

3. How to find GCD of 195, 985, 468, 706 on a calculator?

You can find the GCD of 195, 985, 468, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.