GCD of 657, 238, 85, 459 Calculator

Given Input numbers are 657, 238, 85, 459

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 238

List of positive integer divisors of 238 that divides 238 without a remainder.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 85

List of positive integer divisors of 85 that divides 85 without a remainder.

1, 5, 17, 85

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 657, 238, 85, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 238, 85, 459 is 1.

Therefore, GCD of numbers 657, 238, 85, 459 is 1

Given Input Data is 657, 238, 85, 459

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 238 is 2 x 7 x 17

Prime Factorization of 85 is 5 x 17

Prime Factorization of 459 is 3 x 3 x 3 x 17

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, 238) = 156366

GCD(657, 238) = ( 657 x 238 ) / 156366

GCD(657, 238) = 156366 / 156366

GCD(657, 238) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 85

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

LCM(1, 85) = 85

GCD(1, 85) = ( 1 x 85 ) / 85

GCD(1, 85) = 85 / 85

GCD(1, 85) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 657, 238, 85, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 999, 814, 78, 907
• GCD of 459, 410, 60, 750
• GCD of 438, 371, 72, 132
• GCD of 264, 723, 35, 402
• GCD of 436, 405, 99, 826

1. What is the GCD of 657, 238, 85, 459?

GCD of 657, 238, 85, 459 is 1

2. Where do I get the detailed procedure to find GCD of 657, 238, 85, 459?

You can find a detailed procedure to find GCD of 657, 238, 85, 459 on our page.

3. How to find GCD of 657, 238, 85, 459 on a calculator?

You can find the GCD of 657, 238, 85, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.