GCD of 702, 590, 224 Calculator

Given Input numbers are 702, 590, 224

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

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Divisors of 590

List of positive integer divisors of 590 that divides 590 without a remainder.

1, 2, 5, 10, 59, 118, 295, 590

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 702, 590, 224 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 590, 224 is 2.

Therefore, GCD of numbers 702, 590, 224 is 2

Given Input Data is 702, 590, 224

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

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

Prime Factorization of 590 is 2 x 5 x 59

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

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(702, 590) = 207090

GCD(702, 590) = ( 702 x 590 ) / 207090

GCD(702, 590) = 414180 / 207090

GCD(702, 590) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 224

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

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

GCD(2, 224) = 448 / 224

GCD(2, 224) = 2

GCD of 702, 590, 224 is 2

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1. What is the GCD of 702, 590, 224?

GCD of 702, 590, 224 is 2

2. Where do I get the detailed procedure to find GCD of 702, 590, 224?

You can find a detailed procedure to find GCD of 702, 590, 224 on our page.

3. How to find GCD of 702, 590, 224 on a calculator?

You can find the GCD of 702, 590, 224 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.