GCD of 416, 729, 664, 546 Calculator

Given Input numbers are 416, 729, 664, 546

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

Divisors of 416

List of positive integer divisors of 416 that divides 416 without a remainder.

1, 2, 4, 8, 13, 16, 26, 32, 52, 104, 208, 416

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 664

List of positive integer divisors of 664 that divides 664 without a remainder.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 546

List of positive integer divisors of 546 that divides 546 without a remainder.

1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546

Greatest Common Divisior

We found the divisors of 416, 729, 664, 546 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 416, 729, 664, 546 is 1.

Therefore, GCD of numbers 416, 729, 664, 546 is 1

Given Input Data is 416, 729, 664, 546

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

Prime Factorization of 416 is 2 x 2 x 2 x 2 x 2 x 13

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

Prime Factorization of 664 is 2 x 2 x 2 x 83

Prime Factorization of 546 is 2 x 3 x 7 x 13

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(416, 729) = 303264

GCD(416, 729) = ( 416 x 729 ) / 303264

GCD(416, 729) = 303264 / 303264

GCD(416, 729) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 664

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

LCM(1, 664) = 664

GCD(1, 664) = ( 1 x 664 ) / 664

GCD(1, 664) = 664 / 664

GCD(1, 664) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 546

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

LCM(1, 546) = 546

GCD(1, 546) = ( 1 x 546 ) / 546

GCD(1, 546) = 546 / 546

GCD(1, 546) = 1

GCD of 416, 729, 664, 546 is 1

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1. What is the GCD of 416, 729, 664, 546?

GCD of 416, 729, 664, 546 is 1

2. Where do I get the detailed procedure to find GCD of 416, 729, 664, 546?

You can find a detailed procedure to find GCD of 416, 729, 664, 546 on our page.

3. How to find GCD of 416, 729, 664, 546 on a calculator?

You can find the GCD of 416, 729, 664, 546 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.