GCD of 617, 657, 40, 596 Calculator

Given Input numbers are 617, 657, 40, 596

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 657

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

1, 3, 9, 73, 219, 657

Divisors of 40

List of positive integer divisors of 40 that divides 40 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Greatest Common Divisior

We found the divisors of 617, 657, 40, 596 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 617, 657, 40, 596 is 1.

Therefore, GCD of numbers 617, 657, 40, 596 is 1

Given Input Data is 617, 657, 40, 596

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

Prime Factorization of 617 is 617

Prime Factorization of 657 is 3 x 3 x 73

Prime Factorization of 40 is 2 x 2 x 2 x 5

Prime Factorization of 596 is 2 x 2 x 149

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, 657) = 405369

GCD(617, 657) = ( 617 x 657 ) / 405369

GCD(617, 657) = 405369 / 405369

GCD(617, 657) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 40

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

LCM(1, 40) = 40

GCD(1, 40) = ( 1 x 40 ) / 40

GCD(1, 40) = 40 / 40

GCD(1, 40) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 596

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

LCM(1, 596) = 596

GCD(1, 596) = ( 1 x 596 ) / 596

GCD(1, 596) = 596 / 596

GCD(1, 596) = 1

GCD of 617, 657, 40, 596 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 327, 19, 326
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• GCD of 946, 520, 48, 176

1. What is the GCD of 617, 657, 40, 596?

GCD of 617, 657, 40, 596 is 1

2. Where do I get the detailed procedure to find GCD of 617, 657, 40, 596?

You can find a detailed procedure to find GCD of 617, 657, 40, 596 on our page.

3. How to find GCD of 617, 657, 40, 596 on a calculator?

You can find the GCD of 617, 657, 40, 596 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.