GCD of 546, 748, 459, 365 Calculator

Given Input numbers are 546, 748, 459, 365

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

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

Divisors of 748

List of positive integer divisors of 748 that divides 748 without a remainder.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Greatest Common Divisior

We found the divisors of 546, 748, 459, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 748, 459, 365 is 1.

Therefore, GCD of numbers 546, 748, 459, 365 is 1

Given Input Data is 546, 748, 459, 365

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

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

Prime Factorization of 748 is 2 x 2 x 11 x 17

Prime Factorization of 459 is 3 x 3 x 3 x 17

Prime Factorization of 365 is 5 x 73

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(546, 748) = 204204

GCD(546, 748) = ( 546 x 748 ) / 204204

GCD(546, 748) = 408408 / 204204

GCD(546, 748) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 459

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

LCM(2, 459) = 918

GCD(2, 459) = ( 2 x 459 ) / 918

GCD(2, 459) = 918 / 918

GCD(2, 459) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 365

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

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

GCD(1, 365) = 365 / 365

GCD(1, 365) = 1

GCD of 546, 748, 459, 365 is 1

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1. What is the GCD of 546, 748, 459, 365?

GCD of 546, 748, 459, 365 is 1

2. Where do I get the detailed procedure to find GCD of 546, 748, 459, 365?

You can find a detailed procedure to find GCD of 546, 748, 459, 365 on our page.

3. How to find GCD of 546, 748, 459, 365 on a calculator?

You can find the GCD of 546, 748, 459, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.