GCD of 360, 141, 37, 481 Calculator

Given Input numbers are 360, 141, 37, 481

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 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Divisors of 37

List of positive integer divisors of 37 that divides 37 without a remainder.

1, 37

Divisors of 481

List of positive integer divisors of 481 that divides 481 without a remainder.

1, 13, 37, 481

Greatest Common Divisior

We found the divisors of 360, 141, 37, 481 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 360, 141, 37, 481 is 1.

Therefore, GCD of numbers 360, 141, 37, 481 is 1

Given Input Data is 360, 141, 37, 481

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 141 is 3 x 47

Prime Factorization of 37 is 37

Prime Factorization of 481 is 13 x 37

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, 141) = 16920

GCD(360, 141) = ( 360 x 141 ) / 16920

GCD(360, 141) = 50760 / 16920

GCD(360, 141) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 37

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

LCM(3, 37) = 111

GCD(3, 37) = ( 3 x 37 ) / 111

GCD(3, 37) = 111 / 111

GCD(3, 37) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 481

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

LCM(1, 481) = 481

GCD(1, 481) = ( 1 x 481 ) / 481

GCD(1, 481) = 481 / 481

GCD(1, 481) = 1

GCD of 360, 141, 37, 481 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 177, 34, 562
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• GCD of 355, 507, 55, 502
• GCD of 654, 299, 85, 252

1. What is the GCD of 360, 141, 37, 481?

GCD of 360, 141, 37, 481 is 1

2. Where do I get the detailed procedure to find GCD of 360, 141, 37, 481?

You can find a detailed procedure to find GCD of 360, 141, 37, 481 on our page.

3. How to find GCD of 360, 141, 37, 481 on a calculator?

You can find the GCD of 360, 141, 37, 481 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.