GCD of 368, 876, 452 Calculator

Given Input numbers are 368, 876, 452

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

Divisors of 368

List of positive integer divisors of 368 that divides 368 without a remainder.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

Divisors of 876

List of positive integer divisors of 876 that divides 876 without a remainder.

1, 2, 3, 4, 6, 12, 73, 146, 219, 292, 438, 876

Divisors of 452

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

1, 2, 4, 113, 226, 452

Greatest Common Divisior

We found the divisors of 368, 876, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 368, 876, 452 is 4.

Therefore, GCD of numbers 368, 876, 452 is 4

Given Input Data is 368, 876, 452

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

Prime Factorization of 368 is 2 x 2 x 2 x 2 x 23

Prime Factorization of 876 is 2 x 2 x 3 x 73

Prime Factorization of 452 is 2 x 2 x 113

Highest common occurrences in the given inputs are 2²

Multiplying them we get the GCD as 4

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(368, 876) = 80592

GCD(368, 876) = ( 368 x 876 ) / 80592

GCD(368, 876) = 322368 / 80592

GCD(368, 876) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 452

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

LCM(4, 452) = 452

GCD(4, 452) = ( 4 x 452 ) / 452

GCD(4, 452) = 1808 / 452

GCD(4, 452) = 4

GCD of 368, 876, 452 is 4

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1. What is the GCD of 368, 876, 452?

GCD of 368, 876, 452 is 4

2. Where do I get the detailed procedure to find GCD of 368, 876, 452?

You can find a detailed procedure to find GCD of 368, 876, 452 on our page.

3. How to find GCD of 368, 876, 452 on a calculator?

You can find the GCD of 368, 876, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.