GCD of 369, 945, 327, 360 Calculator

Given Input numbers are 369, 945, 327, 360

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

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

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 327

List of positive integer divisors of 327 that divides 327 without a remainder.

1, 3, 109, 327

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Greatest Common Divisior

We found the divisors of 369, 945, 327, 360 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 369, 945, 327, 360 is 3.

Therefore, GCD of numbers 369, 945, 327, 360 is 3

Given Input Data is 369, 945, 327, 360

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

Prime Factorization of 369 is 3 x 3 x 41

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

Prime Factorization of 327 is 3 x 109

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

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(369, 945) = 38745

GCD(369, 945) = ( 369 x 945 ) / 38745

GCD(369, 945) = 348705 / 38745

GCD(369, 945) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 327

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

LCM(9, 327) = 981

GCD(9, 327) = ( 9 x 327 ) / 981

GCD(9, 327) = 2943 / 981

GCD(9, 327) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 360

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

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

GCD(3, 360) = 1080 / 360

GCD(3, 360) = 3

GCD of 369, 945, 327, 360 is 3

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1. What is the GCD of 369, 945, 327, 360?

GCD of 369, 945, 327, 360 is 3

2. Where do I get the detailed procedure to find GCD of 369, 945, 327, 360?

You can find a detailed procedure to find GCD of 369, 945, 327, 360 on our page.

3. How to find GCD of 369, 945, 327, 360 on a calculator?

You can find the GCD of 369, 945, 327, 360 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.