GCD of 750, 394, 338, 966 Calculator

Given Input numbers are 750, 394, 338, 966

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

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 394

List of positive integer divisors of 394 that divides 394 without a remainder.

1, 2, 197, 394

Divisors of 338

List of positive integer divisors of 338 that divides 338 without a remainder.

1, 2, 13, 26, 169, 338

Divisors of 966

List of positive integer divisors of 966 that divides 966 without a remainder.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Greatest Common Divisior

We found the divisors of 750, 394, 338, 966 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 394, 338, 966 is 2.

Therefore, GCD of numbers 750, 394, 338, 966 is 2

Given Input Data is 750, 394, 338, 966

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

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

Prime Factorization of 394 is 2 x 197

Prime Factorization of 338 is 2 x 13 x 13

Prime Factorization of 966 is 2 x 3 x 7 x 23

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(750, 394) = 147750

GCD(750, 394) = ( 750 x 394 ) / 147750

GCD(750, 394) = 295500 / 147750

GCD(750, 394) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 338

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

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

GCD(2, 338) = 676 / 338

GCD(2, 338) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 966

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

LCM(2, 966) = 966

GCD(2, 966) = ( 2 x 966 ) / 966

GCD(2, 966) = 1932 / 966

GCD(2, 966) = 2

GCD of 750, 394, 338, 966 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 267, 496, 455, 918
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• GCD of 680, 739, 330, 237
• GCD of 499, 211, 389, 973
• GCD of 955, 247, 153, 712

1. What is the GCD of 750, 394, 338, 966?

GCD of 750, 394, 338, 966 is 2

2. Where do I get the detailed procedure to find GCD of 750, 394, 338, 966?

You can find a detailed procedure to find GCD of 750, 394, 338, 966 on our page.

3. How to find GCD of 750, 394, 338, 966 on a calculator?

You can find the GCD of 750, 394, 338, 966 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.