GCD of 709, 506, 487, 921 Calculator

Given Input numbers are 709, 506, 487, 921

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

Divisors of 709

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

1, 709

Divisors of 506

List of positive integer divisors of 506 that divides 506 without a remainder.

1, 2, 11, 22, 23, 46, 253, 506

Divisors of 487

List of positive integer divisors of 487 that divides 487 without a remainder.

1, 487

Divisors of 921

List of positive integer divisors of 921 that divides 921 without a remainder.

1, 3, 307, 921

Greatest Common Divisior

We found the divisors of 709, 506, 487, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 709, 506, 487, 921 is 1.

Therefore, GCD of numbers 709, 506, 487, 921 is 1

Given Input Data is 709, 506, 487, 921

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

Prime Factorization of 709 is 709

Prime Factorization of 506 is 2 x 11 x 23

Prime Factorization of 487 is 487

Prime Factorization of 921 is 3 x 307

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(709, 506) = 358754

GCD(709, 506) = ( 709 x 506 ) / 358754

GCD(709, 506) = 358754 / 358754

GCD(709, 506) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 487

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

LCM(1, 487) = 487

GCD(1, 487) = ( 1 x 487 ) / 487

GCD(1, 487) = 487 / 487

GCD(1, 487) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 921

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

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

GCD(1, 921) = 921 / 921

GCD(1, 921) = 1

GCD of 709, 506, 487, 921 is 1

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1. What is the GCD of 709, 506, 487, 921?

GCD of 709, 506, 487, 921 is 1

2. Where do I get the detailed procedure to find GCD of 709, 506, 487, 921?

You can find a detailed procedure to find GCD of 709, 506, 487, 921 on our page.

3. How to find GCD of 709, 506, 487, 921 on a calculator?

You can find the GCD of 709, 506, 487, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.