GCD of 392, 786, 609, 197 Calculator

Given Input numbers are 392, 786, 609, 197

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

Divisors of 392

List of positive integer divisors of 392 that divides 392 without a remainder.

1, 2, 4, 7, 8, 14, 28, 49, 56, 98, 196, 392

Divisors of 786

List of positive integer divisors of 786 that divides 786 without a remainder.

1, 2, 3, 6, 131, 262, 393, 786

Divisors of 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

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 392, 786, 609, 197 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 392, 786, 609, 197 is 1.

Therefore, GCD of numbers 392, 786, 609, 197 is 1

Given Input Data is 392, 786, 609, 197

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

Prime Factorization of 392 is 2 x 2 x 2 x 7 x 7

Prime Factorization of 786 is 2 x 3 x 131

Prime Factorization of 609 is 3 x 7 x 29

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(392, 786) = 154056

GCD(392, 786) = ( 392 x 786 ) / 154056

GCD(392, 786) = 308112 / 154056

GCD(392, 786) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 609

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

LCM(2, 609) = 1218

GCD(2, 609) = ( 2 x 609 ) / 1218

GCD(2, 609) = 1218 / 1218

GCD(2, 609) = 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 392, 786, 609, 197 is 1

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1. What is the GCD of 392, 786, 609, 197?

GCD of 392, 786, 609, 197 is 1

2. Where do I get the detailed procedure to find GCD of 392, 786, 609, 197?

You can find a detailed procedure to find GCD of 392, 786, 609, 197 on our page.

3. How to find GCD of 392, 786, 609, 197 on a calculator?

You can find the GCD of 392, 786, 609, 197 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.