GCD of 80, 493, 821, 420 Calculator

Given Input numbers are 80, 493, 821, 420

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

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 821

List of positive integer divisors of 821 that divides 821 without a remainder.

1, 821

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 80, 493, 821, 420 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 493, 821, 420 is 1.

Therefore, GCD of numbers 80, 493, 821, 420 is 1

Given Input Data is 80, 493, 821, 420

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

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 493 is 17 x 29

Prime Factorization of 821 is 821

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(80, 493) = 39440

GCD(80, 493) = ( 80 x 493 ) / 39440

GCD(80, 493) = 39440 / 39440

GCD(80, 493) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 821

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

LCM(1, 821) = 821

GCD(1, 821) = ( 1 x 821 ) / 821

GCD(1, 821) = 821 / 821

GCD(1, 821) = 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 80, 493, 821, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 12, 820, 848, 724
• GCD of 33, 980, 287, 802
• GCD of 84, 951, 802, 707
• GCD of 80, 406, 103, 161
• GCD of 15, 271, 834, 856

1. What is the GCD of 80, 493, 821, 420?

GCD of 80, 493, 821, 420 is 1

2. Where do I get the detailed procedure to find GCD of 80, 493, 821, 420?

You can find a detailed procedure to find GCD of 80, 493, 821, 420 on our page.

3. How to find GCD of 80, 493, 821, 420 on a calculator?

You can find the GCD of 80, 493, 821, 420 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.