GCD of 580, 273, 214, 169 Calculator

Given Input numbers are 580, 273, 214, 169

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

Divisors of 580

List of positive integer divisors of 580 that divides 580 without a remainder.

1, 2, 4, 5, 10, 20, 29, 58, 116, 145, 290, 580

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 214

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

1, 2, 107, 214

Divisors of 169

List of positive integer divisors of 169 that divides 169 without a remainder.

1, 13, 169

Greatest Common Divisior

We found the divisors of 580, 273, 214, 169 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 580, 273, 214, 169 is 1.

Therefore, GCD of numbers 580, 273, 214, 169 is 1

Given Input Data is 580, 273, 214, 169

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

Prime Factorization of 580 is 2 x 2 x 5 x 29

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 214 is 2 x 107

Prime Factorization of 169 is 13 x 13

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(580, 273) = 158340

GCD(580, 273) = ( 580 x 273 ) / 158340

GCD(580, 273) = 158340 / 158340

GCD(580, 273) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 169

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

LCM(1, 169) = 169

GCD(1, 169) = ( 1 x 169 ) / 169

GCD(1, 169) = 169 / 169

GCD(1, 169) = 1

GCD of 580, 273, 214, 169 is 1

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1. What is the GCD of 580, 273, 214, 169?

GCD of 580, 273, 214, 169 is 1

2. Where do I get the detailed procedure to find GCD of 580, 273, 214, 169?

You can find a detailed procedure to find GCD of 580, 273, 214, 169 on our page.

3. How to find GCD of 580, 273, 214, 169 on a calculator?

You can find the GCD of 580, 273, 214, 169 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.