GCD of 284, 456, 736 Calculator

Given Input numbers are 284, 456, 736

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 456

List of positive integer divisors of 456 that divides 456 without a remainder.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

Divisors of 736

List of positive integer divisors of 736 that divides 736 without a remainder.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Greatest Common Divisior

We found the divisors of 284, 456, 736 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 284, 456, 736 is 4.

Therefore, GCD of numbers 284, 456, 736 is 4

Given Input Data is 284, 456, 736

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 456 is 2 x 2 x 2 x 3 x 19

Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23

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(284, 456) = 32376

GCD(284, 456) = ( 284 x 456 ) / 32376

GCD(284, 456) = 129504 / 32376

GCD(284, 456) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 736

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

LCM(4, 736) = 736

GCD(4, 736) = ( 4 x 736 ) / 736

GCD(4, 736) = 2944 / 736

GCD(4, 736) = 4

GCD of 284, 456, 736 is 4

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1. What is the GCD of 284, 456, 736?

GCD of 284, 456, 736 is 4

2. Where do I get the detailed procedure to find GCD of 284, 456, 736?

You can find a detailed procedure to find GCD of 284, 456, 736 on our page.

3. How to find GCD of 284, 456, 736 on a calculator?

You can find the GCD of 284, 456, 736 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.