GCD of 178, 894, 961 Calculator

Given Input numbers are 178, 894, 961

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 894

List of positive integer divisors of 894 that divides 894 without a remainder.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 961

List of positive integer divisors of 961 that divides 961 without a remainder.

1, 31, 961

Greatest Common Divisior

We found the divisors of 178, 894, 961 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 894, 961 is 1.

Therefore, GCD of numbers 178, 894, 961 is 1

Given Input Data is 178, 894, 961

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

Prime Factorization of 178 is 2 x 89

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 961 is 31 x 31

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, 894) = 79566

GCD(178, 894) = ( 178 x 894 ) / 79566

GCD(178, 894) = 159132 / 79566

GCD(178, 894) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 961

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

LCM(2, 961) = 1922

GCD(2, 961) = ( 2 x 961 ) / 1922

GCD(2, 961) = 1922 / 1922

GCD(2, 961) = 1

GCD of 178, 894, 961 is 1

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1. What is the GCD of 178, 894, 961?

GCD of 178, 894, 961 is 1

2. Where do I get the detailed procedure to find GCD of 178, 894, 961?

You can find a detailed procedure to find GCD of 178, 894, 961 on our page.

3. How to find GCD of 178, 894, 961 on a calculator?

You can find the GCD of 178, 894, 961 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.