GCD of 80, 556, 801, 171 Calculator

Given Input numbers are 80, 556, 801, 171

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

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 556

List of positive integer divisors of 556 that divides 556 without a remainder.

1, 2, 4, 139, 278, 556

Divisors of 801

List of positive integer divisors of 801 that divides 801 without a remainder.

1, 3, 9, 89, 267, 801

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 80, 556, 801, 171 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 80, 556, 801, 171 is 1.

Therefore, GCD of numbers 80, 556, 801, 171 is 1

Given Input Data is 80, 556, 801, 171

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

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

Prime Factorization of 556 is 2 x 2 x 139

Prime Factorization of 801 is 3 x 3 x 89

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(80, 556) = 11120

GCD(80, 556) = ( 80 x 556 ) / 11120

GCD(80, 556) = 44480 / 11120

GCD(80, 556) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 801

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

LCM(4, 801) = 3204

GCD(4, 801) = ( 4 x 801 ) / 3204

GCD(4, 801) = 3204 / 3204

GCD(4, 801) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 171

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

LCM(1, 171) = 171

GCD(1, 171) = ( 1 x 171 ) / 171

GCD(1, 171) = 171 / 171

GCD(1, 171) = 1

GCD of 80, 556, 801, 171 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 13, 454, 291, 935
• GCD of 44, 681, 866, 734
• GCD of 49, 328, 466, 546
• GCD of 60, 237, 525, 561
• GCD of 99, 980, 206, 284

1. What is the GCD of 80, 556, 801, 171?

GCD of 80, 556, 801, 171 is 1

2. Where do I get the detailed procedure to find GCD of 80, 556, 801, 171?

You can find a detailed procedure to find GCD of 80, 556, 801, 171 on our page.

3. How to find GCD of 80, 556, 801, 171 on a calculator?

You can find the GCD of 80, 556, 801, 171 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.