GCD of 447, 867, 915, 648 Calculator

Given Input numbers are 447, 867, 915, 648

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

Divisors of 447

List of positive integer divisors of 447 that divides 447 without a remainder.

1, 3, 149, 447

Divisors of 867

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

1, 3, 17, 51, 289, 867

Divisors of 915

List of positive integer divisors of 915 that divides 915 without a remainder.

1, 3, 5, 15, 61, 183, 305, 915

Divisors of 648

List of positive integer divisors of 648 that divides 648 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Greatest Common Divisior

We found the divisors of 447, 867, 915, 648 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 447, 867, 915, 648 is 3.

Therefore, GCD of numbers 447, 867, 915, 648 is 3

Given Input Data is 447, 867, 915, 648

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

Prime Factorization of 447 is 3 x 149

Prime Factorization of 867 is 3 x 17 x 17

Prime Factorization of 915 is 3 x 5 x 61

Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3

Highest common occurrences in the given inputs are 3¹

Multiplying them we get the GCD as 3

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(447, 867) = 129183

GCD(447, 867) = ( 447 x 867 ) / 129183

GCD(447, 867) = 387549 / 129183

GCD(447, 867) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 915

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

LCM(3, 915) = 915

GCD(3, 915) = ( 3 x 915 ) / 915

GCD(3, 915) = 2745 / 915

GCD(3, 915) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 648

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

LCM(3, 648) = 648

GCD(3, 648) = ( 3 x 648 ) / 648

GCD(3, 648) = 1944 / 648

GCD(3, 648) = 3

GCD of 447, 867, 915, 648 is 3

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1. What is the GCD of 447, 867, 915, 648?

GCD of 447, 867, 915, 648 is 3

2. Where do I get the detailed procedure to find GCD of 447, 867, 915, 648?

You can find a detailed procedure to find GCD of 447, 867, 915, 648 on our page.

3. How to find GCD of 447, 867, 915, 648 on a calculator?

You can find the GCD of 447, 867, 915, 648 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.