GCD of 232, 998, 90, 250 Calculator

Given Input numbers are 232, 998, 90, 250

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

Divisors of 232

List of positive integer divisors of 232 that divides 232 without a remainder.

1, 2, 4, 8, 29, 58, 116, 232

Divisors of 998

List of positive integer divisors of 998 that divides 998 without a remainder.

1, 2, 499, 998

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 250

List of positive integer divisors of 250 that divides 250 without a remainder.

1, 2, 5, 10, 25, 50, 125, 250

Greatest Common Divisior

We found the divisors of 232, 998, 90, 250 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 232, 998, 90, 250 is 2.

Therefore, GCD of numbers 232, 998, 90, 250 is 2

Given Input Data is 232, 998, 90, 250

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

Prime Factorization of 232 is 2 x 2 x 2 x 29

Prime Factorization of 998 is 2 x 499

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 250 is 2 x 5 x 5 x 5

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(232, 998) = 115768

GCD(232, 998) = ( 232 x 998 ) / 115768

GCD(232, 998) = 231536 / 115768

GCD(232, 998) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 90

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

LCM(2, 90) = 90

GCD(2, 90) = ( 2 x 90 ) / 90

GCD(2, 90) = 180 / 90

GCD(2, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 250

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

LCM(2, 250) = 250

GCD(2, 250) = ( 2 x 250 ) / 250

GCD(2, 250) = 500 / 250

GCD(2, 250) = 2

GCD of 232, 998, 90, 250 is 2

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• GCD of 179, 878, 76, 420
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1. What is the GCD of 232, 998, 90, 250?

GCD of 232, 998, 90, 250 is 2

2. Where do I get the detailed procedure to find GCD of 232, 998, 90, 250?

You can find a detailed procedure to find GCD of 232, 998, 90, 250 on our page.

3. How to find GCD of 232, 998, 90, 250 on a calculator?

You can find the GCD of 232, 998, 90, 250 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.