GCD of 880, 216, 106, 881 Calculator

Given Input numbers are 880, 216, 106, 881

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

Divisors of 880

List of positive integer divisors of 880 that divides 880 without a remainder.

1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880

Divisors of 216

List of positive integer divisors of 216 that divides 216 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 106

List of positive integer divisors of 106 that divides 106 without a remainder.

1, 2, 53, 106

Divisors of 881

List of positive integer divisors of 881 that divides 881 without a remainder.

1, 881

Greatest Common Divisior

We found the divisors of 880, 216, 106, 881 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 216, 106, 881 is 1.

Therefore, GCD of numbers 880, 216, 106, 881 is 1

Given Input Data is 880, 216, 106, 881

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

Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11

Prime Factorization of 216 is 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 106 is 2 x 53

Prime Factorization of 881 is 881

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(880, 216) = 23760

GCD(880, 216) = ( 880 x 216 ) / 23760

GCD(880, 216) = 190080 / 23760

GCD(880, 216) = 8

Step2:

Here we consider the GCD from the above i.e. 8 as first number and the next as 106

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

LCM(8, 106) = 424

GCD(8, 106) = ( 8 x 106 ) / 424

GCD(8, 106) = 848 / 424

GCD(8, 106) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 881

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

LCM(2, 881) = 1762

GCD(2, 881) = ( 2 x 881 ) / 1762

GCD(2, 881) = 1762 / 1762

GCD(2, 881) = 1

GCD of 880, 216, 106, 881 is 1

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1. What is the GCD of 880, 216, 106, 881?

GCD of 880, 216, 106, 881 is 1

2. Where do I get the detailed procedure to find GCD of 880, 216, 106, 881?

You can find a detailed procedure to find GCD of 880, 216, 106, 881 on our page.

3. How to find GCD of 880, 216, 106, 881 on a calculator?

You can find the GCD of 880, 216, 106, 881 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.