GCD of 189, 750, 245, 218 Calculator

Given Input numbers are 189, 750, 245, 218

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

Divisors of 189

List of positive integer divisors of 189 that divides 189 without a remainder.

1, 3, 7, 9, 21, 27, 63, 189

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 245

List of positive integer divisors of 245 that divides 245 without a remainder.

1, 5, 7, 35, 49, 245

Divisors of 218

List of positive integer divisors of 218 that divides 218 without a remainder.

1, 2, 109, 218

Greatest Common Divisior

We found the divisors of 189, 750, 245, 218 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 189, 750, 245, 218 is 1.

Therefore, GCD of numbers 189, 750, 245, 218 is 1

Given Input Data is 189, 750, 245, 218

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

Prime Factorization of 189 is 3 x 3 x 3 x 7

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 245 is 5 x 7 x 7

Prime Factorization of 218 is 2 x 109

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(189, 750) = 47250

GCD(189, 750) = ( 189 x 750 ) / 47250

GCD(189, 750) = 141750 / 47250

GCD(189, 750) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 245

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

LCM(3, 245) = 735

GCD(3, 245) = ( 3 x 245 ) / 735

GCD(3, 245) = 735 / 735

GCD(3, 245) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 218

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

LCM(1, 218) = 218

GCD(1, 218) = ( 1 x 218 ) / 218

GCD(1, 218) = 218 / 218

GCD(1, 218) = 1

GCD of 189, 750, 245, 218 is 1

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• GCD of 830, 929, 886, 964
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1. What is the GCD of 189, 750, 245, 218?

GCD of 189, 750, 245, 218 is 1

2. Where do I get the detailed procedure to find GCD of 189, 750, 245, 218?

You can find a detailed procedure to find GCD of 189, 750, 245, 218 on our page.

3. How to find GCD of 189, 750, 245, 218 on a calculator?

You can find the GCD of 189, 750, 245, 218 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.