GCD of 518, 656, 36, 945 Calculator

Given Input numbers are 518, 656, 36, 945

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

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

Greatest Common Divisior

We found the divisors of 518, 656, 36, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 656, 36, 945 is 1.

Therefore, GCD of numbers 518, 656, 36, 945 is 1

Given Input Data is 518, 656, 36, 945

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 36 is 2 x 2 x 3 x 3

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

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(518, 656) = 169904

GCD(518, 656) = ( 518 x 656 ) / 169904

GCD(518, 656) = 339808 / 169904

GCD(518, 656) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 36

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

LCM(2, 36) = 36

GCD(2, 36) = ( 2 x 36 ) / 36

GCD(2, 36) = 72 / 36

GCD(2, 36) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 945

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

LCM(2, 945) = 1890

GCD(2, 945) = ( 2 x 945 ) / 1890

GCD(2, 945) = 1890 / 1890

GCD(2, 945) = 1

GCD of 518, 656, 36, 945 is 1

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1. What is the GCD of 518, 656, 36, 945?

GCD of 518, 656, 36, 945 is 1

2. Where do I get the detailed procedure to find GCD of 518, 656, 36, 945?

You can find a detailed procedure to find GCD of 518, 656, 36, 945 on our page.

3. How to find GCD of 518, 656, 36, 945 on a calculator?

You can find the GCD of 518, 656, 36, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.