GCD of 38, 660, 296, 956 Calculator

Given Input numbers are 38, 660, 296, 956

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

Divisors of 38

List of positive integer divisors of 38 that divides 38 without a remainder.

1, 2, 19, 38

Divisors of 660

List of positive integer divisors of 660 that divides 660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 296

List of positive integer divisors of 296 that divides 296 without a remainder.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 956

List of positive integer divisors of 956 that divides 956 without a remainder.

1, 2, 4, 239, 478, 956

Greatest Common Divisior

We found the divisors of 38, 660, 296, 956 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 38, 660, 296, 956 is 2.

Therefore, GCD of numbers 38, 660, 296, 956 is 2

Given Input Data is 38, 660, 296, 956

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

Prime Factorization of 38 is 2 x 19

Prime Factorization of 660 is 2 x 2 x 3 x 5 x 11

Prime Factorization of 296 is 2 x 2 x 2 x 37

Prime Factorization of 956 is 2 x 2 x 239

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(38, 660) = 12540

GCD(38, 660) = ( 38 x 660 ) / 12540

GCD(38, 660) = 25080 / 12540

GCD(38, 660) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 296

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

LCM(2, 296) = 296

GCD(2, 296) = ( 2 x 296 ) / 296

GCD(2, 296) = 592 / 296

GCD(2, 296) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 956

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

LCM(2, 956) = 956

GCD(2, 956) = ( 2 x 956 ) / 956

GCD(2, 956) = 1912 / 956

GCD(2, 956) = 2

GCD of 38, 660, 296, 956 is 2

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1. What is the GCD of 38, 660, 296, 956?

GCD of 38, 660, 296, 956 is 2

2. Where do I get the detailed procedure to find GCD of 38, 660, 296, 956?

You can find a detailed procedure to find GCD of 38, 660, 296, 956 on our page.

3. How to find GCD of 38, 660, 296, 956 on a calculator?

You can find the GCD of 38, 660, 296, 956 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.