GCD of 617, 714, 23, 721 Calculator

Given Input numbers are 617, 714, 23, 721

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

Divisors of 617

List of positive integer divisors of 617 that divides 617 without a remainder.

1, 617

Divisors of 714

List of positive integer divisors of 714 that divides 714 without a remainder.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

Divisors of 721

List of positive integer divisors of 721 that divides 721 without a remainder.

1, 7, 103, 721

Greatest Common Divisior

We found the divisors of 617, 714, 23, 721 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 714, 23, 721 is 1.

Therefore, GCD of numbers 617, 714, 23, 721 is 1

Given Input Data is 617, 714, 23, 721

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

Prime Factorization of 617 is 617

Prime Factorization of 714 is 2 x 3 x 7 x 17

Prime Factorization of 23 is 23

Prime Factorization of 721 is 7 x 103

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(617, 714) = 440538

GCD(617, 714) = ( 617 x 714 ) / 440538

GCD(617, 714) = 440538 / 440538

GCD(617, 714) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 23

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

LCM(1, 23) = 23

GCD(1, 23) = ( 1 x 23 ) / 23

GCD(1, 23) = 23 / 23

GCD(1, 23) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 721

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

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

GCD(1, 721) = 721 / 721

GCD(1, 721) = 1

GCD of 617, 714, 23, 721 is 1

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• GCD of 590, 486, 22, 819
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1. What is the GCD of 617, 714, 23, 721?

GCD of 617, 714, 23, 721 is 1

2. Where do I get the detailed procedure to find GCD of 617, 714, 23, 721?

You can find a detailed procedure to find GCD of 617, 714, 23, 721 on our page.

3. How to find GCD of 617, 714, 23, 721 on a calculator?

You can find the GCD of 617, 714, 23, 721 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.