GCD of 402, 126, 412, 519 Calculator

Given Input numbers are 402, 126, 412, 519

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

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 126

List of positive integer divisors of 126 that divides 126 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 519

List of positive integer divisors of 519 that divides 519 without a remainder.

1, 3, 173, 519

Greatest Common Divisior

We found the divisors of 402, 126, 412, 519 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 126, 412, 519 is 1.

Therefore, GCD of numbers 402, 126, 412, 519 is 1

Given Input Data is 402, 126, 412, 519

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

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 126 is 2 x 3 x 3 x 7

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 519 is 3 x 173

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(402, 126) = 8442

GCD(402, 126) = ( 402 x 126 ) / 8442

GCD(402, 126) = 50652 / 8442

GCD(402, 126) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 412

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

LCM(6, 412) = 1236

GCD(6, 412) = ( 6 x 412 ) / 1236

GCD(6, 412) = 2472 / 1236

GCD(6, 412) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 519

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

LCM(2, 519) = 1038

GCD(2, 519) = ( 2 x 519 ) / 1038

GCD(2, 519) = 1038 / 1038

GCD(2, 519) = 1

GCD of 402, 126, 412, 519 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 837, 400, 358, 659
• GCD of 689, 185, 285, 765
• GCD of 672, 508, 533, 144
• GCD of 207, 170, 221, 125
• GCD of 587, 480, 441, 417

1. What is the GCD of 402, 126, 412, 519?

GCD of 402, 126, 412, 519 is 1

2. Where do I get the detailed procedure to find GCD of 402, 126, 412, 519?

You can find a detailed procedure to find GCD of 402, 126, 412, 519 on our page.

3. How to find GCD of 402, 126, 412, 519 on a calculator?

You can find the GCD of 402, 126, 412, 519 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.