GCD of 945, 867, 73, 912 Calculator

Given Input numbers are 945, 867, 73, 912

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 867

List of positive integer divisors of 867 that divides 867 without a remainder.

1, 3, 17, 51, 289, 867

Divisors of 73

List of positive integer divisors of 73 that divides 73 without a remainder.

1, 73

Divisors of 912

List of positive integer divisors of 912 that divides 912 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912

Greatest Common Divisior

We found the divisors of 945, 867, 73, 912 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 867, 73, 912 is 1.

Therefore, GCD of numbers 945, 867, 73, 912 is 1

Given Input Data is 945, 867, 73, 912

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 867 is 3 x 17 x 17

Prime Factorization of 73 is 73

Prime Factorization of 912 is 2 x 2 x 2 x 2 x 3 x 19

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, 867) = 273105

GCD(945, 867) = ( 945 x 867 ) / 273105

GCD(945, 867) = 819315 / 273105

GCD(945, 867) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 73

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

LCM(3, 73) = 219

GCD(3, 73) = ( 3 x 73 ) / 219

GCD(3, 73) = 219 / 219

GCD(3, 73) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 912

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

LCM(1, 912) = 912

GCD(1, 912) = ( 1 x 912 ) / 912

GCD(1, 912) = 912 / 912

GCD(1, 912) = 1

GCD of 945, 867, 73, 912 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 721, 21, 522
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• GCD of 913, 688, 92, 763

1. What is the GCD of 945, 867, 73, 912?

GCD of 945, 867, 73, 912 is 1

2. Where do I get the detailed procedure to find GCD of 945, 867, 73, 912?

You can find a detailed procedure to find GCD of 945, 867, 73, 912 on our page.

3. How to find GCD of 945, 867, 73, 912 on a calculator?

You can find the GCD of 945, 867, 73, 912 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.