GCD of 456, 729, 368, 545 Calculator

Given Input numbers are 456, 729, 368, 545

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

Divisors of 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 729

List of positive integer divisors of 729 that divides 729 without a remainder.

1, 3, 9, 27, 81, 243, 729

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 545

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

1, 5, 109, 545

Greatest Common Divisior

We found the divisors of 456, 729, 368, 545 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 456, 729, 368, 545 is 1.

Therefore, GCD of numbers 456, 729, 368, 545 is 1

Given Input Data is 456, 729, 368, 545

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

Prime Factorization of 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 729 is 3 x 3 x 3 x 3 x 3 x 3

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 545 is 5 x 109

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(456, 729) = 110808

GCD(456, 729) = ( 456 x 729 ) / 110808

GCD(456, 729) = 332424 / 110808

GCD(456, 729) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 368

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

LCM(3, 368) = 1104

GCD(3, 368) = ( 3 x 368 ) / 1104

GCD(3, 368) = 1104 / 1104

GCD(3, 368) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 545

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

LCM(1, 545) = 545

GCD(1, 545) = ( 1 x 545 ) / 545

GCD(1, 545) = 545 / 545

GCD(1, 545) = 1

GCD of 456, 729, 368, 545 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 888, 163, 476, 226
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• GCD of 628, 291, 843, 685

1. What is the GCD of 456, 729, 368, 545?

GCD of 456, 729, 368, 545 is 1

2. Where do I get the detailed procedure to find GCD of 456, 729, 368, 545?

You can find a detailed procedure to find GCD of 456, 729, 368, 545 on our page.

3. How to find GCD of 456, 729, 368, 545 on a calculator?

You can find the GCD of 456, 729, 368, 545 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.