GCD of 161, 714, 596, 388 Calculator

Given Input numbers are 161, 714, 596, 388

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

Divisors of 161

List of positive integer divisors of 161 that divides 161 without a remainder.

1, 7, 23, 161

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 388

List of positive integer divisors of 388 that divides 388 without a remainder.

1, 2, 4, 97, 194, 388

Greatest Common Divisior

We found the divisors of 161, 714, 596, 388 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 161, 714, 596, 388 is 1.

Therefore, GCD of numbers 161, 714, 596, 388 is 1

Given Input Data is 161, 714, 596, 388

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

Prime Factorization of 161 is 7 x 23

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 388 is 2 x 2 x 97

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(161, 714) = 16422

GCD(161, 714) = ( 161 x 714 ) / 16422

GCD(161, 714) = 114954 / 16422

GCD(161, 714) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 596

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

LCM(7, 596) = 4172

GCD(7, 596) = ( 7 x 596 ) / 4172

GCD(7, 596) = 4172 / 4172

GCD(7, 596) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 388

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

LCM(1, 388) = 388

GCD(1, 388) = ( 1 x 388 ) / 388

GCD(1, 388) = 388 / 388

GCD(1, 388) = 1

GCD of 161, 714, 596, 388 is 1

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1. What is the GCD of 161, 714, 596, 388?

GCD of 161, 714, 596, 388 is 1

2. Where do I get the detailed procedure to find GCD of 161, 714, 596, 388?

You can find a detailed procedure to find GCD of 161, 714, 596, 388 on our page.

3. How to find GCD of 161, 714, 596, 388 on a calculator?

You can find the GCD of 161, 714, 596, 388 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.