GCD of 796, 458, 38, 702 Calculator

Given Input numbers are 796, 458, 38, 702

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 458

List of positive integer divisors of 458 that divides 458 without a remainder.

1, 2, 229, 458

Divisors of 38

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

1, 2, 19, 38

Divisors of 702

List of positive integer divisors of 702 that divides 702 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

Greatest Common Divisior

We found the divisors of 796, 458, 38, 702 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 796, 458, 38, 702 is 2.

Therefore, GCD of numbers 796, 458, 38, 702 is 2

Given Input Data is 796, 458, 38, 702

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 458 is 2 x 229

Prime Factorization of 38 is 2 x 19

Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13

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, 458) = 182284

GCD(796, 458) = ( 796 x 458 ) / 182284

GCD(796, 458) = 364568 / 182284

GCD(796, 458) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 38

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

LCM(2, 38) = 38

GCD(2, 38) = ( 2 x 38 ) / 38

GCD(2, 38) = 76 / 38

GCD(2, 38) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 702

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

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

GCD(2, 702) = 1404 / 702

GCD(2, 702) = 2

GCD of 796, 458, 38, 702 is 2

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1. What is the GCD of 796, 458, 38, 702?

GCD of 796, 458, 38, 702 is 2

2. Where do I get the detailed procedure to find GCD of 796, 458, 38, 702?

You can find a detailed procedure to find GCD of 796, 458, 38, 702 on our page.

3. How to find GCD of 796, 458, 38, 702 on a calculator?

You can find the GCD of 796, 458, 38, 702 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.