GCD of 178, 609, 86, 161 Calculator

Given Input numbers are 178, 609, 86, 161

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

Divisors of 178

List of positive integer divisors of 178 that divides 178 without a remainder.

1, 2, 89, 178

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 86

List of positive integer divisors of 86 that divides 86 without a remainder.

1, 2, 43, 86

Divisors of 161

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

1, 7, 23, 161

Greatest Common Divisior

We found the divisors of 178, 609, 86, 161 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 609, 86, 161 is 1.

Therefore, GCD of numbers 178, 609, 86, 161 is 1

Given Input Data is 178, 609, 86, 161

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 609 is 3 x 7 x 29

Prime Factorization of 86 is 2 x 43

Prime Factorization of 161 is 7 x 23

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(178, 609) = 108402

GCD(178, 609) = ( 178 x 609 ) / 108402

GCD(178, 609) = 108402 / 108402

GCD(178, 609) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 86

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

LCM(1, 86) = 86

GCD(1, 86) = ( 1 x 86 ) / 86

GCD(1, 86) = 86 / 86

GCD(1, 86) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 161

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

LCM(1, 161) = 161

GCD(1, 161) = ( 1 x 161 ) / 161

GCD(1, 161) = 161 / 161

GCD(1, 161) = 1

GCD of 178, 609, 86, 161 is 1

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1. What is the GCD of 178, 609, 86, 161?

GCD of 178, 609, 86, 161 is 1

2. Where do I get the detailed procedure to find GCD of 178, 609, 86, 161?

You can find a detailed procedure to find GCD of 178, 609, 86, 161 on our page.

3. How to find GCD of 178, 609, 86, 161 on a calculator?

You can find the GCD of 178, 609, 86, 161 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.