GCD of 498, 436, 567 Calculator

Given Input numbers are 498, 436, 567

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

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 436

List of positive integer divisors of 436 that divides 436 without a remainder.

1, 2, 4, 109, 218, 436

Divisors of 567

List of positive integer divisors of 567 that divides 567 without a remainder.

1, 3, 7, 9, 21, 27, 63, 81, 189, 567

Greatest Common Divisior

We found the divisors of 498, 436, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 498, 436, 567 is 1.

Therefore, GCD of numbers 498, 436, 567 is 1

Given Input Data is 498, 436, 567

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

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 436 is 2 x 2 x 109

Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

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(498, 436) = 108564

GCD(498, 436) = ( 498 x 436 ) / 108564

GCD(498, 436) = 217128 / 108564

GCD(498, 436) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 567

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

LCM(2, 567) = 1134

GCD(2, 567) = ( 2 x 567 ) / 1134

GCD(2, 567) = 1134 / 1134

GCD(2, 567) = 1

GCD of 498, 436, 567 is 1

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1. What is the GCD of 498, 436, 567?

GCD of 498, 436, 567 is 1

2. Where do I get the detailed procedure to find GCD of 498, 436, 567?

You can find a detailed procedure to find GCD of 498, 436, 567 on our page.

3. How to find GCD of 498, 436, 567 on a calculator?

You can find the GCD of 498, 436, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.