GCD of 981, 867, 77, 204 Calculator

Given Input numbers are 981, 867, 77, 204

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

Divisors of 981

List of positive integer divisors of 981 that divides 981 without a remainder.

1, 3, 9, 109, 327, 981

Divisors of 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 981, 867, 77, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 981, 867, 77, 204 is 1.

Therefore, GCD of numbers 981, 867, 77, 204 is 1

Given Input Data is 981, 867, 77, 204

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

Prime Factorization of 981 is 3 x 3 x 109

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 77 is 7 x 11

Prime Factorization of 204 is 2 x 2 x 3 x 17

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(981, 867) = 283509

GCD(981, 867) = ( 981 x 867 ) / 283509

GCD(981, 867) = 850527 / 283509

GCD(981, 867) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 77

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

LCM(3, 77) = 231

GCD(3, 77) = ( 3 x 77 ) / 231

GCD(3, 77) = 231 / 231

GCD(3, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 981, 867, 77, 204 is 1

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1. What is the GCD of 981, 867, 77, 204?

GCD of 981, 867, 77, 204 is 1

2. Where do I get the detailed procedure to find GCD of 981, 867, 77, 204?

You can find a detailed procedure to find GCD of 981, 867, 77, 204 on our page.

3. How to find GCD of 981, 867, 77, 204 on a calculator?

You can find the GCD of 981, 867, 77, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.