GCD of 190, 997, 771, 706 Calculator

Given Input numbers are 190, 997, 771, 706

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 997

List of positive integer divisors of 997 that divides 997 without a remainder.

1, 997

Divisors of 771

List of positive integer divisors of 771 that divides 771 without a remainder.

1, 3, 257, 771

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 190, 997, 771, 706 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 997, 771, 706 is 1.

Therefore, GCD of numbers 190, 997, 771, 706 is 1

Given Input Data is 190, 997, 771, 706

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 997 is 997

Prime Factorization of 771 is 3 x 257

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(190, 997) = 189430

GCD(190, 997) = ( 190 x 997 ) / 189430

GCD(190, 997) = 189430 / 189430

GCD(190, 997) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 771

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

LCM(1, 771) = 771

GCD(1, 771) = ( 1 x 771 ) / 771

GCD(1, 771) = 771 / 771

GCD(1, 771) = 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 190, 997, 771, 706 is 1

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1. What is the GCD of 190, 997, 771, 706?

GCD of 190, 997, 771, 706 is 1

2. Where do I get the detailed procedure to find GCD of 190, 997, 771, 706?

You can find a detailed procedure to find GCD of 190, 997, 771, 706 on our page.

3. How to find GCD of 190, 997, 771, 706 on a calculator?

You can find the GCD of 190, 997, 771, 706 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.