GCD of 595, 224, 13, 214 Calculator

Given Input numbers are 595, 224, 13, 214

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

Divisors of 595

List of positive integer divisors of 595 that divides 595 without a remainder.

1, 5, 7, 17, 35, 85, 119, 595

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

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 214

List of positive integer divisors of 214 that divides 214 without a remainder.

1, 2, 107, 214

Greatest Common Divisior

We found the divisors of 595, 224, 13, 214 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 595, 224, 13, 214 is 1.

Therefore, GCD of numbers 595, 224, 13, 214 is 1

Given Input Data is 595, 224, 13, 214

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

Prime Factorization of 595 is 5 x 7 x 17

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

Prime Factorization of 13 is 13

Prime Factorization of 214 is 2 x 107

The above numbers do not have any common prime factor. So GCD is 1

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(595, 224) = 19040

GCD(595, 224) = ( 595 x 224 ) / 19040

GCD(595, 224) = 133280 / 19040

GCD(595, 224) = 7

Step2:

Here we consider the GCD from the above i.e. 7 as first number and the next as 13

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

LCM(7, 13) = 91

GCD(7, 13) = ( 7 x 13 ) / 91

GCD(7, 13) = 91 / 91

GCD(7, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 214

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

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

GCD(1, 214) = 214 / 214

GCD(1, 214) = 1

GCD of 595, 224, 13, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 254, 198, 83, 403
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• GCD of 444, 654, 55, 186
• GCD of 264, 290, 96, 901
• GCD of 743, 721, 40, 569

1. What is the GCD of 595, 224, 13, 214?

GCD of 595, 224, 13, 214 is 1

2. Where do I get the detailed procedure to find GCD of 595, 224, 13, 214?

You can find a detailed procedure to find GCD of 595, 224, 13, 214 on our page.

3. How to find GCD of 595, 224, 13, 214 on a calculator?

You can find the GCD of 595, 224, 13, 214 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.