GCD of 460, 716, 662, 368 Calculator

Given Input numbers are 460, 716, 662, 368

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

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 716

List of positive integer divisors of 716 that divides 716 without a remainder.

1, 2, 4, 179, 358, 716

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Greatest Common Divisior

We found the divisors of 460, 716, 662, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 460, 716, 662, 368 is 2.

Therefore, GCD of numbers 460, 716, 662, 368 is 2

Given Input Data is 460, 716, 662, 368

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

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

Prime Factorization of 716 is 2 x 2 x 179

Prime Factorization of 662 is 2 x 331

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

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(460, 716) = 82340

GCD(460, 716) = ( 460 x 716 ) / 82340

GCD(460, 716) = 329360 / 82340

GCD(460, 716) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 662

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

LCM(4, 662) = 1324

GCD(4, 662) = ( 4 x 662 ) / 1324

GCD(4, 662) = 2648 / 1324

GCD(4, 662) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 460, 716, 662, 368 is 2

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1. What is the GCD of 460, 716, 662, 368?

GCD of 460, 716, 662, 368 is 2

2. Where do I get the detailed procedure to find GCD of 460, 716, 662, 368?

You can find a detailed procedure to find GCD of 460, 716, 662, 368 on our page.

3. How to find GCD of 460, 716, 662, 368 on a calculator?

You can find the GCD of 460, 716, 662, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.