GCD of 706, 986, 195, 197 Calculator

Given Input numbers are 706, 986, 195, 197

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

Divisors of 706

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

1, 2, 353, 706

Divisors of 986

List of positive integer divisors of 986 that divides 986 without a remainder.

1, 2, 17, 29, 34, 58, 493, 986

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 197

List of positive integer divisors of 197 that divides 197 without a remainder.

1, 197

Greatest Common Divisior

We found the divisors of 706, 986, 195, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 706, 986, 195, 197 is 1.

Therefore, GCD of numbers 706, 986, 195, 197 is 1

Given Input Data is 706, 986, 195, 197

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

Prime Factorization of 706 is 2 x 353

Prime Factorization of 986 is 2 x 17 x 29

Prime Factorization of 195 is 3 x 5 x 13

Prime Factorization of 197 is 197

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(706, 986) = 348058

GCD(706, 986) = ( 706 x 986 ) / 348058

GCD(706, 986) = 696116 / 348058

GCD(706, 986) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 195

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

LCM(2, 195) = 390

GCD(2, 195) = ( 2 x 195 ) / 390

GCD(2, 195) = 390 / 390

GCD(2, 195) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 197

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

LCM(1, 197) = 197

GCD(1, 197) = ( 1 x 197 ) / 197

GCD(1, 197) = 197 / 197

GCD(1, 197) = 1

GCD of 706, 986, 195, 197 is 1

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1. What is the GCD of 706, 986, 195, 197?

GCD of 706, 986, 195, 197 is 1

2. Where do I get the detailed procedure to find GCD of 706, 986, 195, 197?

You can find a detailed procedure to find GCD of 706, 986, 195, 197 on our page.

3. How to find GCD of 706, 986, 195, 197 on a calculator?

You can find the GCD of 706, 986, 195, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.