GCD of 190, 667, 248, 998 Calculator

Given Input numbers are 190, 667, 248, 998

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

Divisors of 190

List of positive integer divisors of 190 that divides 190 without a remainder.

1, 2, 5, 10, 19, 38, 95, 190

Divisors of 667

List of positive integer divisors of 667 that divides 667 without a remainder.

1, 23, 29, 667

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 998

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

1, 2, 499, 998

Greatest Common Divisior

We found the divisors of 190, 667, 248, 998 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 190, 667, 248, 998 is 1.

Therefore, GCD of numbers 190, 667, 248, 998 is 1

Given Input Data is 190, 667, 248, 998

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

Prime Factorization of 190 is 2 x 5 x 19

Prime Factorization of 667 is 23 x 29

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 998 is 2 x 499

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(190, 667) = 126730

GCD(190, 667) = ( 190 x 667 ) / 126730

GCD(190, 667) = 126730 / 126730

GCD(190, 667) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 248

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

LCM(1, 248) = 248

GCD(1, 248) = ( 1 x 248 ) / 248

GCD(1, 248) = 248 / 248

GCD(1, 248) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 998

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

LCM(1, 998) = 998

GCD(1, 998) = ( 1 x 998 ) / 998

GCD(1, 998) = 998 / 998

GCD(1, 998) = 1

GCD of 190, 667, 248, 998 is 1

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1. What is the GCD of 190, 667, 248, 998?

GCD of 190, 667, 248, 998 is 1

2. Where do I get the detailed procedure to find GCD of 190, 667, 248, 998?

You can find a detailed procedure to find GCD of 190, 667, 248, 998 on our page.

3. How to find GCD of 190, 667, 248, 998 on a calculator?

You can find the GCD of 190, 667, 248, 998 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.