GCD of 243, 827, 20, 754 Calculator

Given Input numbers are 243, 827, 20, 754

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

Divisors of 243

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

1, 3, 9, 27, 81, 243

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Divisors of 20

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

1, 2, 4, 5, 10, 20

Divisors of 754

List of positive integer divisors of 754 that divides 754 without a remainder.

1, 2, 13, 26, 29, 58, 377, 754

Greatest Common Divisior

We found the divisors of 243, 827, 20, 754 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 243, 827, 20, 754 is 1.

Therefore, GCD of numbers 243, 827, 20, 754 is 1

Given Input Data is 243, 827, 20, 754

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

Prime Factorization of 243 is 3 x 3 x 3 x 3 x 3

Prime Factorization of 827 is 827

Prime Factorization of 20 is 2 x 2 x 5

Prime Factorization of 754 is 2 x 13 x 29

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(243, 827) = 200961

GCD(243, 827) = ( 243 x 827 ) / 200961

GCD(243, 827) = 200961 / 200961

GCD(243, 827) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 20

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

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

GCD(1, 20) = 20 / 20

GCD(1, 20) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 754

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

LCM(1, 754) = 754

GCD(1, 754) = ( 1 x 754 ) / 754

GCD(1, 754) = 754 / 754

GCD(1, 754) = 1

GCD of 243, 827, 20, 754 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 106, 822, 76, 627
• GCD of 520, 616, 10, 326
• GCD of 840, 564, 67, 512
• GCD of 811, 447, 58, 775
• GCD of 526, 629, 96, 654

1. What is the GCD of 243, 827, 20, 754?

GCD of 243, 827, 20, 754 is 1

2. Where do I get the detailed procedure to find GCD of 243, 827, 20, 754?

You can find a detailed procedure to find GCD of 243, 827, 20, 754 on our page.

3. How to find GCD of 243, 827, 20, 754 on a calculator?

You can find the GCD of 243, 827, 20, 754 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.