GCD of 945, 573, 23, 687 Calculator

Given Input numbers are 945, 573, 23, 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 573

List of positive integer divisors of 573 that divides 573 without a remainder.

1, 3, 191, 573

Divisors of 23

List of positive integer divisors of 23 that divides 23 without a remainder.

1, 23

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, 573, 23, 687 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 573, 23, 687 is 1.

Therefore, GCD of numbers 945, 573, 23, 687 is 1

Given Input Data is 945, 573, 23, 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 573 is 3 x 191

Prime Factorization of 23 is 23

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, 573) = 180495

GCD(945, 573) = ( 945 x 573 ) / 180495

GCD(945, 573) = 541485 / 180495

GCD(945, 573) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 23

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

LCM(3, 23) = 69

GCD(3, 23) = ( 3 x 23 ) / 69

GCD(3, 23) = 69 / 69

GCD(3, 23) = 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, 573, 23, 687 is 1

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1. What is the GCD of 945, 573, 23, 687?

GCD of 945, 573, 23, 687 is 1

2. Where do I get the detailed procedure to find GCD of 945, 573, 23, 687?

You can find a detailed procedure to find GCD of 945, 573, 23, 687 on our page.

3. How to find GCD of 945, 573, 23, 687 on a calculator?

You can find the GCD of 945, 573, 23, 687 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.