GCD of 412, 746, 146, 559 Calculator

Given Input numbers are 412, 746, 146, 559

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

Divisors of 412

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

1, 2, 4, 103, 206, 412

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 146

List of positive integer divisors of 146 that divides 146 without a remainder.

1, 2, 73, 146

Divisors of 559

List of positive integer divisors of 559 that divides 559 without a remainder.

1, 13, 43, 559

Greatest Common Divisior

We found the divisors of 412, 746, 146, 559 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 746, 146, 559 is 1.

Therefore, GCD of numbers 412, 746, 146, 559 is 1

Given Input Data is 412, 746, 146, 559

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

Prime Factorization of 412 is 2 x 2 x 103

Prime Factorization of 746 is 2 x 373

Prime Factorization of 146 is 2 x 73

Prime Factorization of 559 is 13 x 43

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(412, 746) = 153676

GCD(412, 746) = ( 412 x 746 ) / 153676

GCD(412, 746) = 307352 / 153676

GCD(412, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 146

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

LCM(2, 146) = 146

GCD(2, 146) = ( 2 x 146 ) / 146

GCD(2, 146) = 292 / 146

GCD(2, 146) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 559

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

LCM(2, 559) = 1118

GCD(2, 559) = ( 2 x 559 ) / 1118

GCD(2, 559) = 1118 / 1118

GCD(2, 559) = 1

GCD of 412, 746, 146, 559 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 118, 936, 722, 474
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• GCD of 449, 127, 543, 163
• GCD of 800, 658, 747, 320
• GCD of 999, 573, 482, 901

1. What is the GCD of 412, 746, 146, 559?

GCD of 412, 746, 146, 559 is 1

2. Where do I get the detailed procedure to find GCD of 412, 746, 146, 559?

You can find a detailed procedure to find GCD of 412, 746, 146, 559 on our page.

3. How to find GCD of 412, 746, 146, 559 on a calculator?

You can find the GCD of 412, 746, 146, 559 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.