GCD of 610, 308, 412 Calculator

Given Input numbers are 610, 308, 412

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

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 308

List of positive integer divisors of 308 that divides 308 without a remainder.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

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 610, 308, 412 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 308, 412 is 2.

Therefore, GCD of numbers 610, 308, 412 is 2

Given Input Data is 610, 308, 412

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

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 308 is 2 x 2 x 7 x 11

Prime Factorization of 412 is 2 x 2 x 103

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(610, 308) = 93940

GCD(610, 308) = ( 610 x 308 ) / 93940

GCD(610, 308) = 187880 / 93940

GCD(610, 308) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 412

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

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

GCD(2, 412) = 824 / 412

GCD(2, 412) = 2

GCD of 610, 308, 412 is 2

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1. What is the GCD of 610, 308, 412?

GCD of 610, 308, 412 is 2

2. Where do I get the detailed procedure to find GCD of 610, 308, 412?

You can find a detailed procedure to find GCD of 610, 308, 412 on our page.

3. How to find GCD of 610, 308, 412 on a calculator?

You can find the GCD of 610, 308, 412 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.