GCD of 657, 717, 470, 489 Calculator

Given Input numbers are 657, 717, 470, 489

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

Divisors of 657

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

1, 3, 9, 73, 219, 657

Divisors of 717

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

1, 3, 239, 717

Divisors of 470

List of positive integer divisors of 470 that divides 470 without a remainder.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 489

List of positive integer divisors of 489 that divides 489 without a remainder.

1, 3, 163, 489

Greatest Common Divisior

We found the divisors of 657, 717, 470, 489 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 717, 470, 489 is 1.

Therefore, GCD of numbers 657, 717, 470, 489 is 1

Given Input Data is 657, 717, 470, 489

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

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 717 is 3 x 239

Prime Factorization of 470 is 2 x 5 x 47

Prime Factorization of 489 is 3 x 163

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(657, 717) = 157023

GCD(657, 717) = ( 657 x 717 ) / 157023

GCD(657, 717) = 471069 / 157023

GCD(657, 717) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 470

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

LCM(3, 470) = 1410

GCD(3, 470) = ( 3 x 470 ) / 1410

GCD(3, 470) = 1410 / 1410

GCD(3, 470) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 489

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

LCM(1, 489) = 489

GCD(1, 489) = ( 1 x 489 ) / 489

GCD(1, 489) = 489 / 489

GCD(1, 489) = 1

GCD of 657, 717, 470, 489 is 1

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• GCD of 932, 455, 540, 473
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1. What is the GCD of 657, 717, 470, 489?

GCD of 657, 717, 470, 489 is 1

2. Where do I get the detailed procedure to find GCD of 657, 717, 470, 489?

You can find a detailed procedure to find GCD of 657, 717, 470, 489 on our page.

3. How to find GCD of 657, 717, 470, 489 on a calculator?

You can find the GCD of 657, 717, 470, 489 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.