GCD of 601, 785, 723, 218 Calculator

Given Input numbers are 601, 785, 723, 218

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

Divisors of 601

List of positive integer divisors of 601 that divides 601 without a remainder.

1, 601

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 723

List of positive integer divisors of 723 that divides 723 without a remainder.

1, 3, 241, 723

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 601, 785, 723, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 601, 785, 723, 218 is 1.

Therefore, GCD of numbers 601, 785, 723, 218 is 1

Given Input Data is 601, 785, 723, 218

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

Prime Factorization of 601 is 601

Prime Factorization of 785 is 5 x 157

Prime Factorization of 723 is 3 x 241

Prime Factorization of 218 is 2 x 109

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(601, 785) = 471785

GCD(601, 785) = ( 601 x 785 ) / 471785

GCD(601, 785) = 471785 / 471785

GCD(601, 785) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 723

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

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

GCD(1, 723) = 723 / 723

GCD(1, 723) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 601, 785, 723, 218 is 1

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1. What is the GCD of 601, 785, 723, 218?

GCD of 601, 785, 723, 218 is 1

2. Where do I get the detailed procedure to find GCD of 601, 785, 723, 218?

You can find a detailed procedure to find GCD of 601, 785, 723, 218 on our page.

3. How to find GCD of 601, 785, 723, 218 on a calculator?

You can find the GCD of 601, 785, 723, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.