GCD of 452, 796, 24, 694 Calculator

Given Input numbers are 452, 796, 24, 694

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

Divisors of 452

List of positive integer divisors of 452 that divides 452 without a remainder.

1, 2, 4, 113, 226, 452

Divisors of 796

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

1, 2, 4, 199, 398, 796

Divisors of 24

List of positive integer divisors of 24 that divides 24 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24

Divisors of 694

List of positive integer divisors of 694 that divides 694 without a remainder.

1, 2, 347, 694

Greatest Common Divisior

We found the divisors of 452, 796, 24, 694 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 452, 796, 24, 694 is 2.

Therefore, GCD of numbers 452, 796, 24, 694 is 2

Given Input Data is 452, 796, 24, 694

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

Prime Factorization of 452 is 2 x 2 x 113

Prime Factorization of 796 is 2 x 2 x 199

Prime Factorization of 24 is 2 x 2 x 2 x 3

Prime Factorization of 694 is 2 x 347

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(452, 796) = 89948

GCD(452, 796) = ( 452 x 796 ) / 89948

GCD(452, 796) = 359792 / 89948

GCD(452, 796) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 24

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

LCM(4, 24) = 24

GCD(4, 24) = ( 4 x 24 ) / 24

GCD(4, 24) = 96 / 24

GCD(4, 24) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 694

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

LCM(4, 694) = 1388

GCD(4, 694) = ( 4 x 694 ) / 1388

GCD(4, 694) = 2776 / 1388

GCD(4, 694) = 2

GCD of 452, 796, 24, 694 is 2

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1. What is the GCD of 452, 796, 24, 694?

GCD of 452, 796, 24, 694 is 2

2. Where do I get the detailed procedure to find GCD of 452, 796, 24, 694?

You can find a detailed procedure to find GCD of 452, 796, 24, 694 on our page.

3. How to find GCD of 452, 796, 24, 694 on a calculator?

You can find the GCD of 452, 796, 24, 694 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.