GCD of 796, 932, 90, 738 Calculator

Given Input numbers are 796, 932, 90, 738

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

Divisors of 796

List of positive integer divisors of 796 that divides 796 without a remainder.

1, 2, 4, 199, 398, 796

Divisors of 932

List of positive integer divisors of 932 that divides 932 without a remainder.

1, 2, 4, 233, 466, 932

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 738

List of positive integer divisors of 738 that divides 738 without a remainder.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Greatest Common Divisior

We found the divisors of 796, 932, 90, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 932, 90, 738 is 2.

Therefore, GCD of numbers 796, 932, 90, 738 is 2

Given Input Data is 796, 932, 90, 738

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

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 932 is 2 x 2 x 233

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 738 is 2 x 3 x 3 x 41

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(796, 932) = 185468

GCD(796, 932) = ( 796 x 932 ) / 185468

GCD(796, 932) = 741872 / 185468

GCD(796, 932) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 90

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

LCM(4, 90) = 180

GCD(4, 90) = ( 4 x 90 ) / 180

GCD(4, 90) = 360 / 180

GCD(4, 90) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 738

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

LCM(2, 738) = 738

GCD(2, 738) = ( 2 x 738 ) / 738

GCD(2, 738) = 1476 / 738

GCD(2, 738) = 2

GCD of 796, 932, 90, 738 is 2

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1. What is the GCD of 796, 932, 90, 738?

GCD of 796, 932, 90, 738 is 2

2. Where do I get the detailed procedure to find GCD of 796, 932, 90, 738?

You can find a detailed procedure to find GCD of 796, 932, 90, 738 on our page.

3. How to find GCD of 796, 932, 90, 738 on a calculator?

You can find the GCD of 796, 932, 90, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.