GCD of 545, 654, 81, 321 Calculator

Given Input numbers are 545, 654, 81, 321

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

Divisors of 545

List of positive integer divisors of 545 that divides 545 without a remainder.

1, 5, 109, 545

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 81

List of positive integer divisors of 81 that divides 81 without a remainder.

1, 3, 9, 27, 81

Divisors of 321

List of positive integer divisors of 321 that divides 321 without a remainder.

1, 3, 107, 321

Greatest Common Divisior

We found the divisors of 545, 654, 81, 321 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 545, 654, 81, 321 is 1.

Therefore, GCD of numbers 545, 654, 81, 321 is 1

Given Input Data is 545, 654, 81, 321

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

Prime Factorization of 545 is 5 x 109

Prime Factorization of 654 is 2 x 3 x 109

Prime Factorization of 81 is 3 x 3 x 3 x 3

Prime Factorization of 321 is 3 x 107

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(545, 654) = 3270

GCD(545, 654) = ( 545 x 654 ) / 3270

GCD(545, 654) = 356430 / 3270

GCD(545, 654) = 109

Step2:

Here we consider the GCD from the above i.e. 109 as first number and the next as 81

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

LCM(109, 81) = 8829

GCD(109, 81) = ( 109 x 81 ) / 8829

GCD(109, 81) = 8829 / 8829

GCD(109, 81) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 321

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

LCM(1, 321) = 321

GCD(1, 321) = ( 1 x 321 ) / 321

GCD(1, 321) = 321 / 321

GCD(1, 321) = 1

GCD of 545, 654, 81, 321 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 795, 92, 140
• GCD of 188, 520, 80, 543
• GCD of 870, 305, 16, 149
• GCD of 737, 323, 98, 449
• GCD of 369, 845, 11, 350

1. What is the GCD of 545, 654, 81, 321?

GCD of 545, 654, 81, 321 is 1

2. Where do I get the detailed procedure to find GCD of 545, 654, 81, 321?

You can find a detailed procedure to find GCD of 545, 654, 81, 321 on our page.

3. How to find GCD of 545, 654, 81, 321 on a calculator?

You can find the GCD of 545, 654, 81, 321 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.