GCD of 723, 711, 488, 420 Calculator

Given Input numbers are 723, 711, 488, 420

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

Divisors of 723

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

1, 3, 241, 723

Divisors of 711

List of positive integer divisors of 711 that divides 711 without a remainder.

1, 3, 9, 79, 237, 711

Divisors of 488

List of positive integer divisors of 488 that divides 488 without a remainder.

1, 2, 4, 8, 61, 122, 244, 488

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

Greatest Common Divisior

We found the divisors of 723, 711, 488, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 723, 711, 488, 420 is 1.

Therefore, GCD of numbers 723, 711, 488, 420 is 1

Given Input Data is 723, 711, 488, 420

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

Prime Factorization of 723 is 3 x 241

Prime Factorization of 711 is 3 x 3 x 79

Prime Factorization of 488 is 2 x 2 x 2 x 61

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

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(723, 711) = 171351

GCD(723, 711) = ( 723 x 711 ) / 171351

GCD(723, 711) = 514053 / 171351

GCD(723, 711) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 488

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

LCM(3, 488) = 1464

GCD(3, 488) = ( 3 x 488 ) / 1464

GCD(3, 488) = 1464 / 1464

GCD(3, 488) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 420

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

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

GCD(1, 420) = 420 / 420

GCD(1, 420) = 1

GCD of 723, 711, 488, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 817, 744, 971, 882
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• GCD of 854, 306, 765, 780

1. What is the GCD of 723, 711, 488, 420?

GCD of 723, 711, 488, 420 is 1

2. Where do I get the detailed procedure to find GCD of 723, 711, 488, 420?

You can find a detailed procedure to find GCD of 723, 711, 488, 420 on our page.

3. How to find GCD of 723, 711, 488, 420 on a calculator?

You can find the GCD of 723, 711, 488, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.