GCD of 656, 708, 52, 224 Calculator

Given Input numbers are 656, 708, 52, 224

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

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 708

List of positive integer divisors of 708 that divides 708 without a remainder.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 224

List of positive integer divisors of 224 that divides 224 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Greatest Common Divisior

We found the divisors of 656, 708, 52, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 656, 708, 52, 224 is 4.

Therefore, GCD of numbers 656, 708, 52, 224 is 4

Given Input Data is 656, 708, 52, 224

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

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

Prime Factorization of 708 is 2 x 2 x 3 x 59

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 224 is 2 x 2 x 2 x 2 x 2 x 7

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(656, 708) = 116112

GCD(656, 708) = ( 656 x 708 ) / 116112

GCD(656, 708) = 464448 / 116112

GCD(656, 708) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 52

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

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

GCD(4, 52) = 208 / 52

GCD(4, 52) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 224

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

LCM(4, 224) = 224

GCD(4, 224) = ( 4 x 224 ) / 224

GCD(4, 224) = 896 / 224

GCD(4, 224) = 4

GCD of 656, 708, 52, 224 is 4

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1. What is the GCD of 656, 708, 52, 224?

GCD of 656, 708, 52, 224 is 4

2. Where do I get the detailed procedure to find GCD of 656, 708, 52, 224?

You can find a detailed procedure to find GCD of 656, 708, 52, 224 on our page.

3. How to find GCD of 656, 708, 52, 224 on a calculator?

You can find the GCD of 656, 708, 52, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.