GCD of 408, 652, 656, 734 Calculator

Given Input numbers are 408, 652, 656, 734

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

Divisors of 408

List of positive integer divisors of 408 that divides 408 without a remainder.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 652

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

1, 2, 4, 163, 326, 652

Divisors of 656

List of positive integer divisors of 656 that divides 656 without a remainder.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 408, 652, 656, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 408, 652, 656, 734 is 2.

Therefore, GCD of numbers 408, 652, 656, 734 is 2

Given Input Data is 408, 652, 656, 734

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

Prime Factorization of 408 is 2 x 2 x 2 x 3 x 17

Prime Factorization of 652 is 2 x 2 x 163

Prime Factorization of 656 is 2 x 2 x 2 x 2 x 41

Prime Factorization of 734 is 2 x 367

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(408, 652) = 66504

GCD(408, 652) = ( 408 x 652 ) / 66504

GCD(408, 652) = 266016 / 66504

GCD(408, 652) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 656

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

LCM(4, 656) = 656

GCD(4, 656) = ( 4 x 656 ) / 656

GCD(4, 656) = 2624 / 656

GCD(4, 656) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 734

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

LCM(4, 734) = 1468

GCD(4, 734) = ( 4 x 734 ) / 1468

GCD(4, 734) = 2936 / 1468

GCD(4, 734) = 2

GCD of 408, 652, 656, 734 is 2

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1. What is the GCD of 408, 652, 656, 734?

GCD of 408, 652, 656, 734 is 2

2. Where do I get the detailed procedure to find GCD of 408, 652, 656, 734?

You can find a detailed procedure to find GCD of 408, 652, 656, 734 on our page.

3. How to find GCD of 408, 652, 656, 734 on a calculator?

You can find the GCD of 408, 652, 656, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.