GCD of 261, 145, 591, 648 Calculator

Given Input numbers are 261, 145, 591, 648

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 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 591

List of positive integer divisors of 591 that divides 591 without a remainder.

1, 3, 197, 591

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 261, 145, 591, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 261, 145, 591, 648 is 1.

Therefore, GCD of numbers 261, 145, 591, 648 is 1

Given Input Data is 261, 145, 591, 648

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 145 is 5 x 29

Prime Factorization of 591 is 3 x 197

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

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, 145) = 1305

GCD(261, 145) = ( 261 x 145 ) / 1305

GCD(261, 145) = 37845 / 1305

GCD(261, 145) = 29

Step2:

Here we consider the GCD from the above i.e. 29 as first number and the next as 591

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

LCM(29, 591) = 17139

GCD(29, 591) = ( 29 x 591 ) / 17139

GCD(29, 591) = 17139 / 17139

GCD(29, 591) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 648

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

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

GCD(1, 648) = 648 / 648

GCD(1, 648) = 1

GCD of 261, 145, 591, 648 is 1

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1. What is the GCD of 261, 145, 591, 648?

GCD of 261, 145, 591, 648 is 1

2. Where do I get the detailed procedure to find GCD of 261, 145, 591, 648?

You can find a detailed procedure to find GCD of 261, 145, 591, 648 on our page.

3. How to find GCD of 261, 145, 591, 648 on a calculator?

You can find the GCD of 261, 145, 591, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.