GCD of 432, 208, 524 Calculator

Given Input numbers are 432, 208, 524

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

Divisors of 432

List of positive integer divisors of 432 that divides 432 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432

Divisors of 208

List of positive integer divisors of 208 that divides 208 without a remainder.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 524

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

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 432, 208, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 432, 208, 524 is 4.

Therefore, GCD of numbers 432, 208, 524 is 4

Given Input Data is 432, 208, 524

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

Prime Factorization of 432 is 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime Factorization of 208 is 2 x 2 x 2 x 2 x 13

Prime Factorization of 524 is 2 x 2 x 131

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(432, 208) = 5616

GCD(432, 208) = ( 432 x 208 ) / 5616

GCD(432, 208) = 89856 / 5616

GCD(432, 208) = 16

Step2:

Here we consider the GCD from the above i.e. 16 as first number and the next as 524

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

LCM(16, 524) = 2096

GCD(16, 524) = ( 16 x 524 ) / 2096

GCD(16, 524) = 8384 / 2096

GCD(16, 524) = 4

GCD of 432, 208, 524 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 654, 127
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• GCD of 136, 346, 221
• GCD of 388, 340, 491
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1. What is the GCD of 432, 208, 524?

GCD of 432, 208, 524 is 4

2. Where do I get the detailed procedure to find GCD of 432, 208, 524?

You can find a detailed procedure to find GCD of 432, 208, 524 on our page.

3. How to find GCD of 432, 208, 524 on a calculator?

You can find the GCD of 432, 208, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.