GCD of 894, 968, 205 Calculator

Given Input numbers are 894, 968, 205

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

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 968

List of positive integer divisors of 968 that divides 968 without a remainder.

1, 2, 4, 8, 11, 22, 44, 88, 121, 242, 484, 968

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Greatest Common Divisior

We found the divisors of 894, 968, 205 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 894, 968, 205 is 1.

Therefore, GCD of numbers 894, 968, 205 is 1

Given Input Data is 894, 968, 205

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

Prime Factorization of 894 is 2 x 3 x 149

Prime Factorization of 968 is 2 x 2 x 2 x 11 x 11

Prime Factorization of 205 is 5 x 41

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(894, 968) = 432696

GCD(894, 968) = ( 894 x 968 ) / 432696

GCD(894, 968) = 865392 / 432696

GCD(894, 968) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 205

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

LCM(2, 205) = 410

GCD(2, 205) = ( 2 x 205 ) / 410

GCD(2, 205) = 410 / 410

GCD(2, 205) = 1

GCD of 894, 968, 205 is 1

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• GCD of 197, 421, 418
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1. What is the GCD of 894, 968, 205?

GCD of 894, 968, 205 is 1

2. Where do I get the detailed procedure to find GCD of 894, 968, 205?

You can find a detailed procedure to find GCD of 894, 968, 205 on our page.

3. How to find GCD of 894, 968, 205 on a calculator?

You can find the GCD of 894, 968, 205 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.