GCD of 758, 328, 398, 950 Calculator

Given Input numbers are 758, 328, 398, 950

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

Divisors of 758

List of positive integer divisors of 758 that divides 758 without a remainder.

1, 2, 379, 758

Divisors of 328

List of positive integer divisors of 328 that divides 328 without a remainder.

1, 2, 4, 8, 41, 82, 164, 328

Divisors of 398

List of positive integer divisors of 398 that divides 398 without a remainder.

1, 2, 199, 398

Divisors of 950

List of positive integer divisors of 950 that divides 950 without a remainder.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Greatest Common Divisior

We found the divisors of 758, 328, 398, 950 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 758, 328, 398, 950 is 2.

Therefore, GCD of numbers 758, 328, 398, 950 is 2

Given Input Data is 758, 328, 398, 950

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

Prime Factorization of 758 is 2 x 379

Prime Factorization of 328 is 2 x 2 x 2 x 41

Prime Factorization of 398 is 2 x 199

Prime Factorization of 950 is 2 x 5 x 5 x 19

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(758, 328) = 124312

GCD(758, 328) = ( 758 x 328 ) / 124312

GCD(758, 328) = 248624 / 124312

GCD(758, 328) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 398

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

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

GCD(2, 398) = 796 / 398

GCD(2, 398) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 950

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

LCM(2, 950) = 950

GCD(2, 950) = ( 2 x 950 ) / 950

GCD(2, 950) = 1900 / 950

GCD(2, 950) = 2

GCD of 758, 328, 398, 950 is 2

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1. What is the GCD of 758, 328, 398, 950?

GCD of 758, 328, 398, 950 is 2

2. Where do I get the detailed procedure to find GCD of 758, 328, 398, 950?

You can find a detailed procedure to find GCD of 758, 328, 398, 950 on our page.

3. How to find GCD of 758, 328, 398, 950 on a calculator?

You can find the GCD of 758, 328, 398, 950 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.