GCD of 586, 252, 80, 171 Calculator

Given Input numbers are 586, 252, 80, 171

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

Divisors of 586

List of positive integer divisors of 586 that divides 586 without a remainder.

1, 2, 293, 586

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 80

List of positive integer divisors of 80 that divides 80 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80

Divisors of 171

List of positive integer divisors of 171 that divides 171 without a remainder.

1, 3, 9, 19, 57, 171

Greatest Common Divisior

We found the divisors of 586, 252, 80, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 586, 252, 80, 171 is 1.

Therefore, GCD of numbers 586, 252, 80, 171 is 1

Given Input Data is 586, 252, 80, 171

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

Prime Factorization of 586 is 2 x 293

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 80 is 2 x 2 x 2 x 2 x 5

Prime Factorization of 171 is 3 x 3 x 19

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(586, 252) = 73836

GCD(586, 252) = ( 586 x 252 ) / 73836

GCD(586, 252) = 147672 / 73836

GCD(586, 252) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 80

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

LCM(2, 80) = 80

GCD(2, 80) = ( 2 x 80 ) / 80

GCD(2, 80) = 160 / 80

GCD(2, 80) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 171

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

LCM(2, 171) = 342

GCD(2, 171) = ( 2 x 171 ) / 342

GCD(2, 171) = 342 / 342

GCD(2, 171) = 1

GCD of 586, 252, 80, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 846, 35, 817
• GCD of 535, 103, 91, 524
• GCD of 169, 934, 47, 903
• GCD of 663, 305, 67, 656
• GCD of 252, 175, 98, 732

1. What is the GCD of 586, 252, 80, 171?

GCD of 586, 252, 80, 171 is 1

2. Where do I get the detailed procedure to find GCD of 586, 252, 80, 171?

You can find a detailed procedure to find GCD of 586, 252, 80, 171 on our page.

3. How to find GCD of 586, 252, 80, 171 on a calculator?

You can find the GCD of 586, 252, 80, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.