GCD of 360, 407, 681, 264 Calculator

Given Input numbers are 360, 407, 681, 264

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 407

List of positive integer divisors of 407 that divides 407 without a remainder.

1, 11, 37, 407

Divisors of 681

List of positive integer divisors of 681 that divides 681 without a remainder.

1, 3, 227, 681

Divisors of 264

List of positive integer divisors of 264 that divides 264 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Greatest Common Divisior

We found the divisors of 360, 407, 681, 264 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 407, 681, 264 is 1.

Therefore, GCD of numbers 360, 407, 681, 264 is 1

Given Input Data is 360, 407, 681, 264

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 407 is 11 x 37

Prime Factorization of 681 is 3 x 227

Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11

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, 407) = 146520

GCD(360, 407) = ( 360 x 407 ) / 146520

GCD(360, 407) = 146520 / 146520

GCD(360, 407) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 681

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

LCM(1, 681) = 681

GCD(1, 681) = ( 1 x 681 ) / 681

GCD(1, 681) = 681 / 681

GCD(1, 681) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 264

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

LCM(1, 264) = 264

GCD(1, 264) = ( 1 x 264 ) / 264

GCD(1, 264) = 264 / 264

GCD(1, 264) = 1

GCD of 360, 407, 681, 264 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 778, 187, 945
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• GCD of 289, 812, 711, 603

1. What is the GCD of 360, 407, 681, 264?

GCD of 360, 407, 681, 264 is 1

2. Where do I get the detailed procedure to find GCD of 360, 407, 681, 264?

You can find a detailed procedure to find GCD of 360, 407, 681, 264 on our page.

3. How to find GCD of 360, 407, 681, 264 on a calculator?

You can find the GCD of 360, 407, 681, 264 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.