GCD of 152, 189, 89, 890 Calculator

Given Input numbers are 152, 189, 89, 890

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

Divisors of 152

List of positive integer divisors of 152 that divides 152 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152

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 89

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

1, 89

Divisors of 890

List of positive integer divisors of 890 that divides 890 without a remainder.

1, 2, 5, 10, 89, 178, 445, 890

Greatest Common Divisior

We found the divisors of 152, 189, 89, 890 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 189, 89, 890 is 1.

Therefore, GCD of numbers 152, 189, 89, 890 is 1

Given Input Data is 152, 189, 89, 890

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

Prime Factorization of 152 is 2 x 2 x 2 x 19

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

Prime Factorization of 89 is 89

Prime Factorization of 890 is 2 x 5 x 89

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(152, 189) = 28728

GCD(152, 189) = ( 152 x 189 ) / 28728

GCD(152, 189) = 28728 / 28728

GCD(152, 189) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 89

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

LCM(1, 89) = 89

GCD(1, 89) = ( 1 x 89 ) / 89

GCD(1, 89) = 89 / 89

GCD(1, 89) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 890

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

LCM(1, 890) = 890

GCD(1, 890) = ( 1 x 890 ) / 890

GCD(1, 890) = 890 / 890

GCD(1, 890) = 1

GCD of 152, 189, 89, 890 is 1

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1. What is the GCD of 152, 189, 89, 890?

GCD of 152, 189, 89, 890 is 1

2. Where do I get the detailed procedure to find GCD of 152, 189, 89, 890?

You can find a detailed procedure to find GCD of 152, 189, 89, 890 on our page.

3. How to find GCD of 152, 189, 89, 890 on a calculator?

You can find the GCD of 152, 189, 89, 890 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.