GCD of 742, 821, 23, 486 Calculator

Given Input numbers are 742, 821, 23, 486

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

Divisors of 742

List of positive integer divisors of 742 that divides 742 without a remainder.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 821

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

1, 821

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 486

List of positive integer divisors of 486 that divides 486 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486

Greatest Common Divisior

We found the divisors of 742, 821, 23, 486 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 821, 23, 486 is 1.

Therefore, GCD of numbers 742, 821, 23, 486 is 1

Given Input Data is 742, 821, 23, 486

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

Prime Factorization of 742 is 2 x 7 x 53

Prime Factorization of 821 is 821

Prime Factorization of 23 is 23

Prime Factorization of 486 is 2 x 3 x 3 x 3 x 3 x 3

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(742, 821) = 609182

GCD(742, 821) = ( 742 x 821 ) / 609182

GCD(742, 821) = 609182 / 609182

GCD(742, 821) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 486

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

LCM(1, 486) = 486

GCD(1, 486) = ( 1 x 486 ) / 486

GCD(1, 486) = 486 / 486

GCD(1, 486) = 1

GCD of 742, 821, 23, 486 is 1

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1. What is the GCD of 742, 821, 23, 486?

GCD of 742, 821, 23, 486 is 1

2. Where do I get the detailed procedure to find GCD of 742, 821, 23, 486?

You can find a detailed procedure to find GCD of 742, 821, 23, 486 on our page.

3. How to find GCD of 742, 821, 23, 486 on a calculator?

You can find the GCD of 742, 821, 23, 486 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.