GCD of 57, 360, 799, 412 Calculator

Given Input numbers are 57, 360, 799, 412

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

Divisors of 57

List of positive integer divisors of 57 that divides 57 without a remainder.

1, 3, 19, 57

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 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 412

List of positive integer divisors of 412 that divides 412 without a remainder.

1, 2, 4, 103, 206, 412

Greatest Common Divisior

We found the divisors of 57, 360, 799, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 57, 360, 799, 412 is 1.

Therefore, GCD of numbers 57, 360, 799, 412 is 1

Given Input Data is 57, 360, 799, 412

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

Prime Factorization of 57 is 3 x 19

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

Prime Factorization of 799 is 17 x 47

Prime Factorization of 412 is 2 x 2 x 103

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(57, 360) = 6840

GCD(57, 360) = ( 57 x 360 ) / 6840

GCD(57, 360) = 20520 / 6840

GCD(57, 360) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 799

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

LCM(3, 799) = 2397

GCD(3, 799) = ( 3 x 799 ) / 2397

GCD(3, 799) = 2397 / 2397

GCD(3, 799) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 412

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

LCM(1, 412) = 412

GCD(1, 412) = ( 1 x 412 ) / 412

GCD(1, 412) = 412 / 412

GCD(1, 412) = 1

GCD of 57, 360, 799, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 85, 314, 776, 291
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• GCD of 27, 761, 664, 422
• GCD of 88, 104, 466, 316

1. What is the GCD of 57, 360, 799, 412?

GCD of 57, 360, 799, 412 is 1

2. Where do I get the detailed procedure to find GCD of 57, 360, 799, 412?

You can find a detailed procedure to find GCD of 57, 360, 799, 412 on our page.

3. How to find GCD of 57, 360, 799, 412 on a calculator?

You can find the GCD of 57, 360, 799, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.