GCD of 882, 750, 589, 211 Calculator

Given Input numbers are 882, 750, 589, 211

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 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 589

List of positive integer divisors of 589 that divides 589 without a remainder.

1, 19, 31, 589

Divisors of 211

List of positive integer divisors of 211 that divides 211 without a remainder.

1, 211

Greatest Common Divisior

We found the divisors of 882, 750, 589, 211 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 882, 750, 589, 211 is 1.

Therefore, GCD of numbers 882, 750, 589, 211 is 1

Given Input Data is 882, 750, 589, 211

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 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 589 is 19 x 31

Prime Factorization of 211 is 211

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, 750) = 110250

GCD(882, 750) = ( 882 x 750 ) / 110250

GCD(882, 750) = 661500 / 110250

GCD(882, 750) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 589

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

LCM(6, 589) = 3534

GCD(6, 589) = ( 6 x 589 ) / 3534

GCD(6, 589) = 3534 / 3534

GCD(6, 589) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 211

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

LCM(1, 211) = 211

GCD(1, 211) = ( 1 x 211 ) / 211

GCD(1, 211) = 211 / 211

GCD(1, 211) = 1

GCD of 882, 750, 589, 211 is 1

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1. What is the GCD of 882, 750, 589, 211?

GCD of 882, 750, 589, 211 is 1

2. Where do I get the detailed procedure to find GCD of 882, 750, 589, 211?

You can find a detailed procedure to find GCD of 882, 750, 589, 211 on our page.

3. How to find GCD of 882, 750, 589, 211 on a calculator?

You can find the GCD of 882, 750, 589, 211 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.