GCD of 720, 254, 421, 473 Calculator

Given Input numbers are 720, 254, 421, 473

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

Divisors of 720

List of positive integer divisors of 720 that divides 720 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 254

List of positive integer divisors of 254 that divides 254 without a remainder.

1, 2, 127, 254

Divisors of 421

List of positive integer divisors of 421 that divides 421 without a remainder.

1, 421

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 720, 254, 421, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 720, 254, 421, 473 is 1.

Therefore, GCD of numbers 720, 254, 421, 473 is 1

Given Input Data is 720, 254, 421, 473

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

Prime Factorization of 720 is 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 254 is 2 x 127

Prime Factorization of 421 is 421

Prime Factorization of 473 is 11 x 43

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(720, 254) = 91440

GCD(720, 254) = ( 720 x 254 ) / 91440

GCD(720, 254) = 182880 / 91440

GCD(720, 254) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 421

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

LCM(2, 421) = 842

GCD(2, 421) = ( 2 x 421 ) / 842

GCD(2, 421) = 842 / 842

GCD(2, 421) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 720, 254, 421, 473 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 623, 509, 435, 281
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• GCD of 763, 295, 401, 705

1. What is the GCD of 720, 254, 421, 473?

GCD of 720, 254, 421, 473 is 1

2. Where do I get the detailed procedure to find GCD of 720, 254, 421, 473?

You can find a detailed procedure to find GCD of 720, 254, 421, 473 on our page.

3. How to find GCD of 720, 254, 421, 473 on a calculator?

You can find the GCD of 720, 254, 421, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.