GCD of 412, 706, 502 Calculator

Given Input numbers are 412, 706, 502

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 706

List of positive integer divisors of 706 that divides 706 without a remainder.

1, 2, 353, 706

Divisors of 502

List of positive integer divisors of 502 that divides 502 without a remainder.

1, 2, 251, 502

Greatest Common Divisior

We found the divisors of 412, 706, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 412, 706, 502 is 2.

Therefore, GCD of numbers 412, 706, 502 is 2

Given Input Data is 412, 706, 502

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 706 is 2 x 353

Prime Factorization of 502 is 2 x 251

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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, 706) = 145436

GCD(412, 706) = ( 412 x 706 ) / 145436

GCD(412, 706) = 290872 / 145436

GCD(412, 706) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 502

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

LCM(2, 502) = 502

GCD(2, 502) = ( 2 x 502 ) / 502

GCD(2, 502) = 1004 / 502

GCD(2, 502) = 2

GCD of 412, 706, 502 is 2

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• GCD of 796, 519, 138
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1. What is the GCD of 412, 706, 502?

GCD of 412, 706, 502 is 2

2. Where do I get the detailed procedure to find GCD of 412, 706, 502?

You can find a detailed procedure to find GCD of 412, 706, 502 on our page.

3. How to find GCD of 412, 706, 502 on a calculator?

You can find the GCD of 412, 706, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.