GCD of 956, 596, 38, 732 Calculator

Given Input numbers are 956, 596, 38, 732

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

Divisors of 956

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

1, 2, 4, 239, 478, 956

Divisors of 596

List of positive integer divisors of 596 that divides 596 without a remainder.

1, 2, 4, 149, 298, 596

Divisors of 38

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

1, 2, 19, 38

Divisors of 732

List of positive integer divisors of 732 that divides 732 without a remainder.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Greatest Common Divisior

We found the divisors of 956, 596, 38, 732 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 956, 596, 38, 732 is 2.

Therefore, GCD of numbers 956, 596, 38, 732 is 2

Given Input Data is 956, 596, 38, 732

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

Prime Factorization of 956 is 2 x 2 x 239

Prime Factorization of 596 is 2 x 2 x 149

Prime Factorization of 38 is 2 x 19

Prime Factorization of 732 is 2 x 2 x 3 x 61

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(956, 596) = 142444

GCD(956, 596) = ( 956 x 596 ) / 142444

GCD(956, 596) = 569776 / 142444

GCD(956, 596) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 38

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

LCM(4, 38) = 76

GCD(4, 38) = ( 4 x 38 ) / 76

GCD(4, 38) = 152 / 76

GCD(4, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 732

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

LCM(2, 732) = 732

GCD(2, 732) = ( 2 x 732 ) / 732

GCD(2, 732) = 1464 / 732

GCD(2, 732) = 2

GCD of 956, 596, 38, 732 is 2

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• GCD of 438, 530, 17, 135

1. What is the GCD of 956, 596, 38, 732?

GCD of 956, 596, 38, 732 is 2

2. Where do I get the detailed procedure to find GCD of 956, 596, 38, 732?

You can find a detailed procedure to find GCD of 956, 596, 38, 732 on our page.

3. How to find GCD of 956, 596, 38, 732 on a calculator?

You can find the GCD of 956, 596, 38, 732 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.