GCD of 753, 318, 17, 412 Calculator

Given Input numbers are 753, 318, 17, 412

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

Divisors of 753

List of positive integer divisors of 753 that divides 753 without a remainder.

1, 3, 251, 753

Divisors of 318

List of positive integer divisors of 318 that divides 318 without a remainder.

1, 2, 3, 6, 53, 106, 159, 318

Divisors of 17

List of positive integer divisors of 17 that divides 17 without a remainder.

1, 17

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 753, 318, 17, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 753, 318, 17, 412 is 1.

Therefore, GCD of numbers 753, 318, 17, 412 is 1

Given Input Data is 753, 318, 17, 412

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

Prime Factorization of 753 is 3 x 251

Prime Factorization of 318 is 2 x 3 x 53

Prime Factorization of 17 is 17

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(753, 318) = 79818

GCD(753, 318) = ( 753 x 318 ) / 79818

GCD(753, 318) = 239454 / 79818

GCD(753, 318) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 17

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

LCM(3, 17) = 51

GCD(3, 17) = ( 3 x 17 ) / 51

GCD(3, 17) = 51 / 51

GCD(3, 17) = 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 753, 318, 17, 412 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 152, 387, 88, 853
• GCD of 191, 123, 64, 876
• GCD of 439, 893, 29, 956
• GCD of 637, 834, 13, 575
• GCD of 743, 242, 39, 765

1. What is the GCD of 753, 318, 17, 412?

GCD of 753, 318, 17, 412 is 1

2. Where do I get the detailed procedure to find GCD of 753, 318, 17, 412?

You can find a detailed procedure to find GCD of 753, 318, 17, 412 on our page.

3. How to find GCD of 753, 318, 17, 412 on a calculator?

You can find the GCD of 753, 318, 17, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.