GCD of 178, 686, 38, 891 Calculator

Given Input numbers are 178, 686, 38, 891

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 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 891

List of positive integer divisors of 891 that divides 891 without a remainder.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Greatest Common Divisior

We found the divisors of 178, 686, 38, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 686, 38, 891 is 1.

Therefore, GCD of numbers 178, 686, 38, 891 is 1

Given Input Data is 178, 686, 38, 891

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 38 is 2 x 19

Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11

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, 686) = 61054

GCD(178, 686) = ( 178 x 686 ) / 61054

GCD(178, 686) = 122108 / 61054

GCD(178, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 891

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

LCM(2, 891) = 1782

GCD(2, 891) = ( 2 x 891 ) / 1782

GCD(2, 891) = 1782 / 1782

GCD(2, 891) = 1

GCD of 178, 686, 38, 891 is 1

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1. What is the GCD of 178, 686, 38, 891?

GCD of 178, 686, 38, 891 is 1

2. Where do I get the detailed procedure to find GCD of 178, 686, 38, 891?

You can find a detailed procedure to find GCD of 178, 686, 38, 891 on our page.

3. How to find GCD of 178, 686, 38, 891 on a calculator?

You can find the GCD of 178, 686, 38, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.