GCD of 501, 657, 243, 709 Calculator

Given Input numbers are 501, 657, 243, 709

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

Divisors of 501

List of positive integer divisors of 501 that divides 501 without a remainder.

1, 3, 167, 501

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

Divisors of 243

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

1, 3, 9, 27, 81, 243

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

Greatest Common Divisior

We found the divisors of 501, 657, 243, 709 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 501, 657, 243, 709 is 1.

Therefore, GCD of numbers 501, 657, 243, 709 is 1

Given Input Data is 501, 657, 243, 709

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

Prime Factorization of 501 is 3 x 167

Prime Factorization of 657 is 3 x 3 x 73

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

Prime Factorization of 709 is 709

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(501, 657) = 109719

GCD(501, 657) = ( 501 x 657 ) / 109719

GCD(501, 657) = 329157 / 109719

GCD(501, 657) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 243

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

LCM(3, 243) = 243

GCD(3, 243) = ( 3 x 243 ) / 243

GCD(3, 243) = 729 / 243

GCD(3, 243) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 709

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

LCM(3, 709) = 2127

GCD(3, 709) = ( 3 x 709 ) / 2127

GCD(3, 709) = 2127 / 2127

GCD(3, 709) = 1

GCD of 501, 657, 243, 709 is 1

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1. What is the GCD of 501, 657, 243, 709?

GCD of 501, 657, 243, 709 is 1

2. Where do I get the detailed procedure to find GCD of 501, 657, 243, 709?

You can find a detailed procedure to find GCD of 501, 657, 243, 709 on our page.

3. How to find GCD of 501, 657, 243, 709 on a calculator?

You can find the GCD of 501, 657, 243, 709 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.