GCD of 360, 289, 36, 744 Calculator

Given Input numbers are 360, 289, 36, 744

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

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

Divisors of 289

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

1, 17, 289

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 744

List of positive integer divisors of 744 that divides 744 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

Greatest Common Divisior

We found the divisors of 360, 289, 36, 744 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 289, 36, 744 is 1.

Therefore, GCD of numbers 360, 289, 36, 744 is 1

Given Input Data is 360, 289, 36, 744

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

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

Prime Factorization of 289 is 17 x 17

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 744 is 2 x 2 x 2 x 3 x 31

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(360, 289) = 104040

GCD(360, 289) = ( 360 x 289 ) / 104040

GCD(360, 289) = 104040 / 104040

GCD(360, 289) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 744

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

LCM(1, 744) = 744

GCD(1, 744) = ( 1 x 744 ) / 744

GCD(1, 744) = 744 / 744

GCD(1, 744) = 1

GCD of 360, 289, 36, 744 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 238, 186, 69, 425
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• GCD of 622, 456, 78, 382
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• GCD of 525, 904, 20, 636

1. What is the GCD of 360, 289, 36, 744?

GCD of 360, 289, 36, 744 is 1

2. Where do I get the detailed procedure to find GCD of 360, 289, 36, 744?

You can find a detailed procedure to find GCD of 360, 289, 36, 744 on our page.

3. How to find GCD of 360, 289, 36, 744 on a calculator?

You can find the GCD of 360, 289, 36, 744 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.