GCD of 882, 100, 89, 220 Calculator

Given Input numbers are 882, 100, 89, 220

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

Divisors of 882

List of positive integer divisors of 882 that divides 882 without a remainder.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

Divisors of 100

List of positive integer divisors of 100 that divides 100 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 89

List of positive integer divisors of 89 that divides 89 without a remainder.

1, 89

Divisors of 220

List of positive integer divisors of 220 that divides 220 without a remainder.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Greatest Common Divisior

We found the divisors of 882, 100, 89, 220 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 100, 89, 220 is 1.

Therefore, GCD of numbers 882, 100, 89, 220 is 1

Given Input Data is 882, 100, 89, 220

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

Prime Factorization of 882 is 2 x 3 x 3 x 7 x 7

Prime Factorization of 100 is 2 x 2 x 5 x 5

Prime Factorization of 89 is 89

Prime Factorization of 220 is 2 x 2 x 5 x 11

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(882, 100) = 44100

GCD(882, 100) = ( 882 x 100 ) / 44100

GCD(882, 100) = 88200 / 44100

GCD(882, 100) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 89

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

LCM(2, 89) = 178

GCD(2, 89) = ( 2 x 89 ) / 178

GCD(2, 89) = 178 / 178

GCD(2, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 220

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

LCM(1, 220) = 220

GCD(1, 220) = ( 1 x 220 ) / 220

GCD(1, 220) = 220 / 220

GCD(1, 220) = 1

GCD of 882, 100, 89, 220 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 255, 49, 999
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• GCD of 745, 124, 55, 691

1. What is the GCD of 882, 100, 89, 220?

GCD of 882, 100, 89, 220 is 1

2. Where do I get the detailed procedure to find GCD of 882, 100, 89, 220?

You can find a detailed procedure to find GCD of 882, 100, 89, 220 on our page.

3. How to find GCD of 882, 100, 89, 220 on a calculator?

You can find the GCD of 882, 100, 89, 220 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.