GCD of 454, 765, 18, 717 Calculator

Given Input numbers are 454, 765, 18, 717

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

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Divisors of 765

List of positive integer divisors of 765 that divides 765 without a remainder.

1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765

Divisors of 18

List of positive integer divisors of 18 that divides 18 without a remainder.

1, 2, 3, 6, 9, 18

Divisors of 717

List of positive integer divisors of 717 that divides 717 without a remainder.

1, 3, 239, 717

Greatest Common Divisior

We found the divisors of 454, 765, 18, 717 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 454, 765, 18, 717 is 1.

Therefore, GCD of numbers 454, 765, 18, 717 is 1

Given Input Data is 454, 765, 18, 717

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

Prime Factorization of 454 is 2 x 227

Prime Factorization of 765 is 3 x 3 x 5 x 17

Prime Factorization of 18 is 2 x 3 x 3

Prime Factorization of 717 is 3 x 239

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(454, 765) = 347310

GCD(454, 765) = ( 454 x 765 ) / 347310

GCD(454, 765) = 347310 / 347310

GCD(454, 765) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 18

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

LCM(1, 18) = 18

GCD(1, 18) = ( 1 x 18 ) / 18

GCD(1, 18) = 18 / 18

GCD(1, 18) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 717

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

LCM(1, 717) = 717

GCD(1, 717) = ( 1 x 717 ) / 717

GCD(1, 717) = 717 / 717

GCD(1, 717) = 1

GCD of 454, 765, 18, 717 is 1

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1. What is the GCD of 454, 765, 18, 717?

GCD of 454, 765, 18, 717 is 1

2. Where do I get the detailed procedure to find GCD of 454, 765, 18, 717?

You can find a detailed procedure to find GCD of 454, 765, 18, 717 on our page.

3. How to find GCD of 454, 765, 18, 717 on a calculator?

You can find the GCD of 454, 765, 18, 717 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.