GCD of 518, 528, 369, 498 Calculator

Given Input numbers are 518, 528, 369, 498

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

Divisors of 518

List of positive integer divisors of 518 that divides 518 without a remainder.

1, 2, 7, 14, 37, 74, 259, 518

Divisors of 528

List of positive integer divisors of 528 that divides 528 without a remainder.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 369

List of positive integer divisors of 369 that divides 369 without a remainder.

1, 3, 9, 41, 123, 369

Divisors of 498

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

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

Greatest Common Divisior

We found the divisors of 518, 528, 369, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 518, 528, 369, 498 is 1.

Therefore, GCD of numbers 518, 528, 369, 498 is 1

Given Input Data is 518, 528, 369, 498

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

Prime Factorization of 518 is 2 x 7 x 37

Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11

Prime Factorization of 369 is 3 x 3 x 41

Prime Factorization of 498 is 2 x 3 x 83

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(518, 528) = 136752

GCD(518, 528) = ( 518 x 528 ) / 136752

GCD(518, 528) = 273504 / 136752

GCD(518, 528) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 369

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

LCM(2, 369) = 738

GCD(2, 369) = ( 2 x 369 ) / 738

GCD(2, 369) = 738 / 738

GCD(2, 369) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 518, 528, 369, 498 is 1

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1. What is the GCD of 518, 528, 369, 498?

GCD of 518, 528, 369, 498 is 1

2. Where do I get the detailed procedure to find GCD of 518, 528, 369, 498?

You can find a detailed procedure to find GCD of 518, 528, 369, 498 on our page.

3. How to find GCD of 518, 528, 369, 498 on a calculator?

You can find the GCD of 518, 528, 369, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.