GCD of 113, 217, 643, 473 Calculator

Given Input numbers are 113, 217, 643, 473

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

Divisors of 113

List of positive integer divisors of 113 that divides 113 without a remainder.

1, 113

Divisors of 217

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

1, 7, 31, 217

Divisors of 643

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

1, 643

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Greatest Common Divisior

We found the divisors of 113, 217, 643, 473 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 113, 217, 643, 473 is 1.

Therefore, GCD of numbers 113, 217, 643, 473 is 1

Given Input Data is 113, 217, 643, 473

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

Prime Factorization of 113 is 113

Prime Factorization of 217 is 7 x 31

Prime Factorization of 643 is 643

Prime Factorization of 473 is 11 x 43

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(113, 217) = 24521

GCD(113, 217) = ( 113 x 217 ) / 24521

GCD(113, 217) = 24521 / 24521

GCD(113, 217) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

GCD of 113, 217, 643, 473 is 1

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1. What is the GCD of 113, 217, 643, 473?

GCD of 113, 217, 643, 473 is 1

2. Where do I get the detailed procedure to find GCD of 113, 217, 643, 473?

You can find a detailed procedure to find GCD of 113, 217, 643, 473 on our page.

3. How to find GCD of 113, 217, 643, 473 on a calculator?

You can find the GCD of 113, 217, 643, 473 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.