GCD of 57, 217, 789, 643 Calculator

Given Input numbers are 57, 217, 789, 643

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

Divisors of 217

List of positive integer divisors of 217 that divides 217 without a remainder.

1, 7, 31, 217

Divisors of 789

List of positive integer divisors of 789 that divides 789 without a remainder.

1, 3, 263, 789

Divisors of 643

List of positive integer divisors of 643 that divides 643 without a remainder.

1, 643

Greatest Common Divisior

We found the divisors of 57, 217, 789, 643 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 217, 789, 643 is 1.

Therefore, GCD of numbers 57, 217, 789, 643 is 1

Given Input Data is 57, 217, 789, 643

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

Prime Factorization of 57 is 3 x 19

Prime Factorization of 217 is 7 x 31

Prime Factorization of 789 is 3 x 263

Prime Factorization of 643 is 643

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(57, 217) = 12369

GCD(57, 217) = ( 57 x 217 ) / 12369

GCD(57, 217) = 12369 / 12369

GCD(57, 217) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 789

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

LCM(1, 789) = 789

GCD(1, 789) = ( 1 x 789 ) / 789

GCD(1, 789) = 789 / 789

GCD(1, 789) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 643

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

LCM(1, 643) = 643

GCD(1, 643) = ( 1 x 643 ) / 643

GCD(1, 643) = 643 / 643

GCD(1, 643) = 1

GCD of 57, 217, 789, 643 is 1

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1. What is the GCD of 57, 217, 789, 643?

GCD of 57, 217, 789, 643 is 1

2. Where do I get the detailed procedure to find GCD of 57, 217, 789, 643?

You can find a detailed procedure to find GCD of 57, 217, 789, 643 on our page.

3. How to find GCD of 57, 217, 789, 643 on a calculator?

You can find the GCD of 57, 217, 789, 643 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.