GCD of 645, 214, 27, 945 Calculator

Given Input numbers are 645, 214, 27, 945

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

Divisors of 645

List of positive integer divisors of 645 that divides 645 without a remainder.

1, 3, 5, 15, 43, 129, 215, 645

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Divisors of 27

List of positive integer divisors of 27 that divides 27 without a remainder.

1, 3, 9, 27

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 645, 214, 27, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 645, 214, 27, 945 is 1.

Therefore, GCD of numbers 645, 214, 27, 945 is 1

Given Input Data is 645, 214, 27, 945

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

Prime Factorization of 645 is 3 x 5 x 43

Prime Factorization of 214 is 2 x 107

Prime Factorization of 27 is 3 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(645, 214) = 138030

GCD(645, 214) = ( 645 x 214 ) / 138030

GCD(645, 214) = 138030 / 138030

GCD(645, 214) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 27

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

LCM(1, 27) = 27

GCD(1, 27) = ( 1 x 27 ) / 27

GCD(1, 27) = 27 / 27

GCD(1, 27) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 945

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

LCM(1, 945) = 945

GCD(1, 945) = ( 1 x 945 ) / 945

GCD(1, 945) = 945 / 945

GCD(1, 945) = 1

GCD of 645, 214, 27, 945 is 1

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1. What is the GCD of 645, 214, 27, 945?

GCD of 645, 214, 27, 945 is 1

2. Where do I get the detailed procedure to find GCD of 645, 214, 27, 945?

You can find a detailed procedure to find GCD of 645, 214, 27, 945 on our page.

3. How to find GCD of 645, 214, 27, 945 on a calculator?

You can find the GCD of 645, 214, 27, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.