GCD of 998, 474, 734, 788 Calculator

Given Input numbers are 998, 474, 734, 788

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

Divisors of 998

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

1, 2, 499, 998

Divisors of 474

List of positive integer divisors of 474 that divides 474 without a remainder.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Divisors of 788

List of positive integer divisors of 788 that divides 788 without a remainder.

1, 2, 4, 197, 394, 788

Greatest Common Divisior

We found the divisors of 998, 474, 734, 788 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 998, 474, 734, 788 is 2.

Therefore, GCD of numbers 998, 474, 734, 788 is 2

Given Input Data is 998, 474, 734, 788

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

Prime Factorization of 998 is 2 x 499

Prime Factorization of 474 is 2 x 3 x 79

Prime Factorization of 734 is 2 x 367

Prime Factorization of 788 is 2 x 2 x 197

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(998, 474) = 236526

GCD(998, 474) = ( 998 x 474 ) / 236526

GCD(998, 474) = 473052 / 236526

GCD(998, 474) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 788

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

LCM(2, 788) = 788

GCD(2, 788) = ( 2 x 788 ) / 788

GCD(2, 788) = 1576 / 788

GCD(2, 788) = 2

GCD of 998, 474, 734, 788 is 2

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1. What is the GCD of 998, 474, 734, 788?

GCD of 998, 474, 734, 788 is 2

2. Where do I get the detailed procedure to find GCD of 998, 474, 734, 788?

You can find a detailed procedure to find GCD of 998, 474, 734, 788 on our page.

3. How to find GCD of 998, 474, 734, 788 on a calculator?

You can find the GCD of 998, 474, 734, 788 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.