GCD of 284, 348, 916, 454 Calculator

Given Input numbers are 284, 348, 916, 454

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

Divisors of 284

List of positive integer divisors of 284 that divides 284 without a remainder.

1, 2, 4, 71, 142, 284

Divisors of 348

List of positive integer divisors of 348 that divides 348 without a remainder.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 916

List of positive integer divisors of 916 that divides 916 without a remainder.

1, 2, 4, 229, 458, 916

Divisors of 454

List of positive integer divisors of 454 that divides 454 without a remainder.

1, 2, 227, 454

Greatest Common Divisior

We found the divisors of 284, 348, 916, 454 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 348, 916, 454 is 2.

Therefore, GCD of numbers 284, 348, 916, 454 is 2

Given Input Data is 284, 348, 916, 454

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

Prime Factorization of 284 is 2 x 2 x 71

Prime Factorization of 348 is 2 x 2 x 3 x 29

Prime Factorization of 916 is 2 x 2 x 229

Prime Factorization of 454 is 2 x 227

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(284, 348) = 24708

GCD(284, 348) = ( 284 x 348 ) / 24708

GCD(284, 348) = 98832 / 24708

GCD(284, 348) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 916

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

LCM(4, 916) = 916

GCD(4, 916) = ( 4 x 916 ) / 916

GCD(4, 916) = 3664 / 916

GCD(4, 916) = 4

Step3:

Here we consider the GCD from the above i.e. 4 as first number and the next as 454

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

LCM(4, 454) = 908

GCD(4, 454) = ( 4 x 454 ) / 908

GCD(4, 454) = 1816 / 908

GCD(4, 454) = 2

GCD of 284, 348, 916, 454 is 2

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1. What is the GCD of 284, 348, 916, 454?

GCD of 284, 348, 916, 454 is 2

2. Where do I get the detailed procedure to find GCD of 284, 348, 916, 454?

You can find a detailed procedure to find GCD of 284, 348, 916, 454 on our page.

3. How to find GCD of 284, 348, 916, 454 on a calculator?

You can find the GCD of 284, 348, 916, 454 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.