GCD of 945, 592, 404, 687 Calculator

Given Input numbers are 945, 592, 404, 687

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

Divisors of 945

List of positive integer divisors of 945 that divides 945 without a remainder.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 592

List of positive integer divisors of 592 that divides 592 without a remainder.

1, 2, 4, 8, 16, 37, 74, 148, 296, 592

Divisors of 404

List of positive integer divisors of 404 that divides 404 without a remainder.

1, 2, 4, 101, 202, 404

Divisors of 687

List of positive integer divisors of 687 that divides 687 without a remainder.

1, 3, 229, 687

Greatest Common Divisior

We found the divisors of 945, 592, 404, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 592, 404, 687 is 1.

Therefore, GCD of numbers 945, 592, 404, 687 is 1

Given Input Data is 945, 592, 404, 687

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

Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7

Prime Factorization of 592 is 2 x 2 x 2 x 2 x 37

Prime Factorization of 404 is 2 x 2 x 101

Prime Factorization of 687 is 3 x 229

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(945, 592) = 559440

GCD(945, 592) = ( 945 x 592 ) / 559440

GCD(945, 592) = 559440 / 559440

GCD(945, 592) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 404

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

LCM(1, 404) = 404

GCD(1, 404) = ( 1 x 404 ) / 404

GCD(1, 404) = 404 / 404

GCD(1, 404) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 687

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

LCM(1, 687) = 687

GCD(1, 687) = ( 1 x 687 ) / 687

GCD(1, 687) = 687 / 687

GCD(1, 687) = 1

GCD of 945, 592, 404, 687 is 1

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1. What is the GCD of 945, 592, 404, 687?

GCD of 945, 592, 404, 687 is 1

2. Where do I get the detailed procedure to find GCD of 945, 592, 404, 687?

You can find a detailed procedure to find GCD of 945, 592, 404, 687 on our page.

3. How to find GCD of 945, 592, 404, 687 on a calculator?

You can find the GCD of 945, 592, 404, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.