GCD of 408, 289, 54, 945 Calculator

Given Input numbers are 408, 289, 54, 945

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 289

List of positive integer divisors of 289 that divides 289 without a remainder.

1, 17, 289

Divisors of 54

List of positive integer divisors of 54 that divides 54 without a remainder.

1, 2, 3, 6, 9, 18, 27, 54

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 408, 289, 54, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 289, 54, 945 is 1.

Therefore, GCD of numbers 408, 289, 54, 945 is 1

Given Input Data is 408, 289, 54, 945

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 289 is 17 x 17

Prime Factorization of 54 is 2 x 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(408, 289) = 6936

GCD(408, 289) = ( 408 x 289 ) / 6936

GCD(408, 289) = 117912 / 6936

GCD(408, 289) = 17

Step2:

Here we consider the GCD from the above i.e. 17 as first number and the next as 54

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

LCM(17, 54) = 918

GCD(17, 54) = ( 17 x 54 ) / 918

GCD(17, 54) = 918 / 918

GCD(17, 54) = 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 408, 289, 54, 945 is 1

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1. What is the GCD of 408, 289, 54, 945?

GCD of 408, 289, 54, 945 is 1

2. Where do I get the detailed procedure to find GCD of 408, 289, 54, 945?

You can find a detailed procedure to find GCD of 408, 289, 54, 945 on our page.

3. How to find GCD of 408, 289, 54, 945 on a calculator?

You can find the GCD of 408, 289, 54, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.