GCD of 232, 206, 360, 614 Calculator

Given Input numbers are 232, 206, 360, 614

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 232, 206, 360, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 206, 360, 614 is 2.

Therefore, GCD of numbers 232, 206, 360, 614 is 2

Given Input Data is 232, 206, 360, 614

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 206 is 2 x 103

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 614 is 2 x 307

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(232, 206) = 23896

GCD(232, 206) = ( 232 x 206 ) / 23896

GCD(232, 206) = 47792 / 23896

GCD(232, 206) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 360

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

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

GCD(2, 360) = 720 / 360

GCD(2, 360) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 614

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

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

GCD(2, 614) = 1228 / 614

GCD(2, 614) = 2

GCD of 232, 206, 360, 614 is 2

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1. What is the GCD of 232, 206, 360, 614?

GCD of 232, 206, 360, 614 is 2

2. Where do I get the detailed procedure to find GCD of 232, 206, 360, 614?

You can find a detailed procedure to find GCD of 232, 206, 360, 614 on our page.

3. How to find GCD of 232, 206, 360, 614 on a calculator?

You can find the GCD of 232, 206, 360, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.