GCD of 945, 396, 732 Calculator

Given Input numbers are 945, 396, 732

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 396

List of positive integer divisors of 396 that divides 396 without a remainder.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 945, 396, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 945, 396, 732 is 3.

Therefore, GCD of numbers 945, 396, 732 is 3

Given Input Data is 945, 396, 732

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 396 is 2 x 2 x 3 x 3 x 11

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(945, 396) = 41580

GCD(945, 396) = ( 945 x 396 ) / 41580

GCD(945, 396) = 374220 / 41580

GCD(945, 396) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 732

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

LCM(9, 732) = 2196

GCD(9, 732) = ( 9 x 732 ) / 2196

GCD(9, 732) = 6588 / 2196

GCD(9, 732) = 3

GCD of 945, 396, 732 is 3

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1. What is the GCD of 945, 396, 732?

GCD of 945, 396, 732 is 3

2. Where do I get the detailed procedure to find GCD of 945, 396, 732?

You can find a detailed procedure to find GCD of 945, 396, 732 on our page.

3. How to find GCD of 945, 396, 732 on a calculator?

You can find the GCD of 945, 396, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.