GCD of 614, 438, 460, 652 Calculator

Given Input numbers are 614, 438, 460, 652

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

Divisors of 614

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

1, 2, 307, 614

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 460

List of positive integer divisors of 460 that divides 460 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 652

List of positive integer divisors of 652 that divides 652 without a remainder.

1, 2, 4, 163, 326, 652

Greatest Common Divisior

We found the divisors of 614, 438, 460, 652 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 614, 438, 460, 652 is 2.

Therefore, GCD of numbers 614, 438, 460, 652 is 2

Given Input Data is 614, 438, 460, 652

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

Prime Factorization of 614 is 2 x 307

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 460 is 2 x 2 x 5 x 23

Prime Factorization of 652 is 2 x 2 x 163

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(614, 438) = 134466

GCD(614, 438) = ( 614 x 438 ) / 134466

GCD(614, 438) = 268932 / 134466

GCD(614, 438) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 460

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

LCM(2, 460) = 460

GCD(2, 460) = ( 2 x 460 ) / 460

GCD(2, 460) = 920 / 460

GCD(2, 460) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 652

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

LCM(2, 652) = 652

GCD(2, 652) = ( 2 x 652 ) / 652

GCD(2, 652) = 1304 / 652

GCD(2, 652) = 2

GCD of 614, 438, 460, 652 is 2

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1. What is the GCD of 614, 438, 460, 652?

GCD of 614, 438, 460, 652 is 2

2. Where do I get the detailed procedure to find GCD of 614, 438, 460, 652?

You can find a detailed procedure to find GCD of 614, 438, 460, 652 on our page.

3. How to find GCD of 614, 438, 460, 652 on a calculator?

You can find the GCD of 614, 438, 460, 652 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.