GCD of 20, 649, 625, 243 Calculator

Given Input numbers are 20, 649, 625, 243

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

Divisors of 20

List of positive integer divisors of 20 that divides 20 without a remainder.

1, 2, 4, 5, 10, 20

Divisors of 649

List of positive integer divisors of 649 that divides 649 without a remainder.

1, 11, 59, 649

Divisors of 625

List of positive integer divisors of 625 that divides 625 without a remainder.

1, 5, 25, 125, 625

Divisors of 243

List of positive integer divisors of 243 that divides 243 without a remainder.

1, 3, 9, 27, 81, 243

Greatest Common Divisior

We found the divisors of 20, 649, 625, 243 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 20, 649, 625, 243 is 1.

Therefore, GCD of numbers 20, 649, 625, 243 is 1

Given Input Data is 20, 649, 625, 243

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

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 649 is 11 x 59

Prime Factorization of 625 is 5 x 5 x 5 x 5

Prime Factorization of 243 is 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(20, 649) = 12980

GCD(20, 649) = ( 20 x 649 ) / 12980

GCD(20, 649) = 12980 / 12980

GCD(20, 649) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 625

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

LCM(1, 625) = 625

GCD(1, 625) = ( 1 x 625 ) / 625

GCD(1, 625) = 625 / 625

GCD(1, 625) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 243

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

LCM(1, 243) = 243

GCD(1, 243) = ( 1 x 243 ) / 243

GCD(1, 243) = 243 / 243

GCD(1, 243) = 1

GCD of 20, 649, 625, 243 is 1

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1. What is the GCD of 20, 649, 625, 243?

GCD of 20, 649, 625, 243 is 1

2. Where do I get the detailed procedure to find GCD of 20, 649, 625, 243?

You can find a detailed procedure to find GCD of 20, 649, 625, 243 on our page.

3. How to find GCD of 20, 649, 625, 243 on a calculator?

You can find the GCD of 20, 649, 625, 243 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.