GCD of 159, 248, 998, 747 Calculator

Given Input numbers are 159, 248, 998, 747

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

Divisors of 159

List of positive integer divisors of 159 that divides 159 without a remainder.

1, 3, 53, 159

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

Divisors of 747

List of positive integer divisors of 747 that divides 747 without a remainder.

1, 3, 9, 83, 249, 747

Greatest Common Divisior

We found the divisors of 159, 248, 998, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 159, 248, 998, 747 is 1.

Therefore, GCD of numbers 159, 248, 998, 747 is 1

Given Input Data is 159, 248, 998, 747

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

Prime Factorization of 159 is 3 x 53

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 747 is 3 x 3 x 83

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(159, 248) = 39432

GCD(159, 248) = ( 159 x 248 ) / 39432

GCD(159, 248) = 39432 / 39432

GCD(159, 248) = 1

Step2:

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

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 747

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

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

GCD(1, 747) = 747 / 747

GCD(1, 747) = 1

GCD of 159, 248, 998, 747 is 1

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1. What is the GCD of 159, 248, 998, 747?

GCD of 159, 248, 998, 747 is 1

2. Where do I get the detailed procedure to find GCD of 159, 248, 998, 747?

You can find a detailed procedure to find GCD of 159, 248, 998, 747 on our page.

3. How to find GCD of 159, 248, 998, 747 on a calculator?

You can find the GCD of 159, 248, 998, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.