GCD of 420, 509, 547, 728 Calculator

Given Input numbers are 420, 509, 547, 728

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

Divisors of 420

List of positive integer divisors of 420 that divides 420 without a remainder.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 509

List of positive integer divisors of 509 that divides 509 without a remainder.

1, 509

Divisors of 547

List of positive integer divisors of 547 that divides 547 without a remainder.

1, 547

Divisors of 728

List of positive integer divisors of 728 that divides 728 without a remainder.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Greatest Common Divisior

We found the divisors of 420, 509, 547, 728 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 420, 509, 547, 728 is 1.

Therefore, GCD of numbers 420, 509, 547, 728 is 1

Given Input Data is 420, 509, 547, 728

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

Prime Factorization of 420 is 2 x 2 x 3 x 5 x 7

Prime Factorization of 509 is 509

Prime Factorization of 547 is 547

Prime Factorization of 728 is 2 x 2 x 2 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(420, 509) = 213780

GCD(420, 509) = ( 420 x 509 ) / 213780

GCD(420, 509) = 213780 / 213780

GCD(420, 509) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 547

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

LCM(1, 547) = 547

GCD(1, 547) = ( 1 x 547 ) / 547

GCD(1, 547) = 547 / 547

GCD(1, 547) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 728

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

LCM(1, 728) = 728

GCD(1, 728) = ( 1 x 728 ) / 728

GCD(1, 728) = 728 / 728

GCD(1, 728) = 1

GCD of 420, 509, 547, 728 is 1

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1. What is the GCD of 420, 509, 547, 728?

GCD of 420, 509, 547, 728 is 1

2. Where do I get the detailed procedure to find GCD of 420, 509, 547, 728?

You can find a detailed procedure to find GCD of 420, 509, 547, 728 on our page.

3. How to find GCD of 420, 509, 547, 728 on a calculator?

You can find the GCD of 420, 509, 547, 728 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.