GCD of 320, 524, 554, 368 Calculator

Given Input numbers are 320, 524, 554, 368

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

Divisors of 320

List of positive integer divisors of 320 that divides 320 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 554

List of positive integer divisors of 554 that divides 554 without a remainder.

1, 2, 277, 554

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

Greatest Common Divisior

We found the divisors of 320, 524, 554, 368 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 320, 524, 554, 368 is 2.

Therefore, GCD of numbers 320, 524, 554, 368 is 2

Given Input Data is 320, 524, 554, 368

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

Prime Factorization of 320 is 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 554 is 2 x 277

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

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(320, 524) = 41920

GCD(320, 524) = ( 320 x 524 ) / 41920

GCD(320, 524) = 167680 / 41920

GCD(320, 524) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 554

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

LCM(4, 554) = 1108

GCD(4, 554) = ( 4 x 554 ) / 1108

GCD(4, 554) = 2216 / 1108

GCD(4, 554) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 368

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

LCM(2, 368) = 368

GCD(2, 368) = ( 2 x 368 ) / 368

GCD(2, 368) = 736 / 368

GCD(2, 368) = 2

GCD of 320, 524, 554, 368 is 2

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1. What is the GCD of 320, 524, 554, 368?

GCD of 320, 524, 554, 368 is 2

2. Where do I get the detailed procedure to find GCD of 320, 524, 554, 368?

You can find a detailed procedure to find GCD of 320, 524, 554, 368 on our page.

3. How to find GCD of 320, 524, 554, 368 on a calculator?

You can find the GCD of 320, 524, 554, 368 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.