GCD of 360, 351, 26, 463 Calculator

Given Input numbers are 360, 351, 26, 463

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 26

List of positive integer divisors of 26 that divides 26 without a remainder.

1, 2, 13, 26

Divisors of 463

List of positive integer divisors of 463 that divides 463 without a remainder.

1, 463

Greatest Common Divisior

We found the divisors of 360, 351, 26, 463 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 351, 26, 463 is 1.

Therefore, GCD of numbers 360, 351, 26, 463 is 1

Given Input Data is 360, 351, 26, 463

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 351 is 3 x 3 x 3 x 13

Prime Factorization of 26 is 2 x 13

Prime Factorization of 463 is 463

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, 351) = 14040

GCD(360, 351) = ( 360 x 351 ) / 14040

GCD(360, 351) = 126360 / 14040

GCD(360, 351) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 26

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

LCM(9, 26) = 234

GCD(9, 26) = ( 9 x 26 ) / 234

GCD(9, 26) = 234 / 234

GCD(9, 26) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 463

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

LCM(1, 463) = 463

GCD(1, 463) = ( 1 x 463 ) / 463

GCD(1, 463) = 463 / 463

GCD(1, 463) = 1

GCD of 360, 351, 26, 463 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 371, 334, 14, 791
• GCD of 289, 386, 52, 316
• GCD of 281, 877, 78, 655
• GCD of 562, 947, 25, 481
• GCD of 689, 860, 73, 440

1. What is the GCD of 360, 351, 26, 463?

GCD of 360, 351, 26, 463 is 1

2. Where do I get the detailed procedure to find GCD of 360, 351, 26, 463?

You can find a detailed procedure to find GCD of 360, 351, 26, 463 on our page.

3. How to find GCD of 360, 351, 26, 463 on a calculator?

You can find the GCD of 360, 351, 26, 463 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.