GCD of 546, 458, 723, 506 Calculator

Given Input numbers are 546, 458, 723, 506

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Greatest Common Divisior

We found the divisors of 546, 458, 723, 506 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 546, 458, 723, 506 is 1.

Therefore, GCD of numbers 546, 458, 723, 506 is 1

Given Input Data is 546, 458, 723, 506

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 458 is 2 x 229

Prime Factorization of 723 is 3 x 241

Prime Factorization of 506 is 2 x 11 x 23

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, 458) = 125034

GCD(546, 458) = ( 546 x 458 ) / 125034

GCD(546, 458) = 250068 / 125034

GCD(546, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 723

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

LCM(2, 723) = 1446

GCD(2, 723) = ( 2 x 723 ) / 1446

GCD(2, 723) = 1446 / 1446

GCD(2, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 506

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

LCM(1, 506) = 506

GCD(1, 506) = ( 1 x 506 ) / 506

GCD(1, 506) = 506 / 506

GCD(1, 506) = 1

GCD of 546, 458, 723, 506 is 1

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1. What is the GCD of 546, 458, 723, 506?

GCD of 546, 458, 723, 506 is 1

2. Where do I get the detailed procedure to find GCD of 546, 458, 723, 506?

You can find a detailed procedure to find GCD of 546, 458, 723, 506 on our page.

3. How to find GCD of 546, 458, 723, 506 on a calculator?

You can find the GCD of 546, 458, 723, 506 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.