GCD of 261, 825, 654, 191 Calculator

Given Input numbers are 261, 825, 654, 191

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

Divisors of 261

List of positive integer divisors of 261 that divides 261 without a remainder.

1, 3, 9, 29, 87, 261

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 654

List of positive integer divisors of 654 that divides 654 without a remainder.

1, 2, 3, 6, 109, 218, 327, 654

Divisors of 191

List of positive integer divisors of 191 that divides 191 without a remainder.

1, 191

Greatest Common Divisior

We found the divisors of 261, 825, 654, 191 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 825, 654, 191 is 1.

Therefore, GCD of numbers 261, 825, 654, 191 is 1

Given Input Data is 261, 825, 654, 191

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

Prime Factorization of 261 is 3 x 3 x 29

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 191 is 191

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(261, 825) = 71775

GCD(261, 825) = ( 261 x 825 ) / 71775

GCD(261, 825) = 215325 / 71775

GCD(261, 825) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 654

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

LCM(3, 654) = 654

GCD(3, 654) = ( 3 x 654 ) / 654

GCD(3, 654) = 1962 / 654

GCD(3, 654) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 191

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

LCM(3, 191) = 573

GCD(3, 191) = ( 3 x 191 ) / 573

GCD(3, 191) = 573 / 573

GCD(3, 191) = 1

GCD of 261, 825, 654, 191 is 1

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1. What is the GCD of 261, 825, 654, 191?

GCD of 261, 825, 654, 191 is 1

2. Where do I get the detailed procedure to find GCD of 261, 825, 654, 191?

You can find a detailed procedure to find GCD of 261, 825, 654, 191 on our page.

3. How to find GCD of 261, 825, 654, 191 on a calculator?

You can find the GCD of 261, 825, 654, 191 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.