GCD of 516, 498, 351, 325 Calculator

Given Input numbers are 516, 498, 351, 325

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

Divisors of 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

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 351

List of positive integer divisors of 351 that divides 351 without a remainder.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 325

List of positive integer divisors of 325 that divides 325 without a remainder.

1, 5, 13, 25, 65, 325

Greatest Common Divisior

We found the divisors of 516, 498, 351, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 516, 498, 351, 325 is 1.

Therefore, GCD of numbers 516, 498, 351, 325 is 1

Given Input Data is 516, 498, 351, 325

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

Prime Factorization of 516 is 2 x 2 x 3 x 43

Prime Factorization of 498 is 2 x 3 x 83

Prime Factorization of 351 is 3 x 3 x 3 x 13

Prime Factorization of 325 is 5 x 5 x 13

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(516, 498) = 42828

GCD(516, 498) = ( 516 x 498 ) / 42828

GCD(516, 498) = 256968 / 42828

GCD(516, 498) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 351

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

LCM(6, 351) = 702

GCD(6, 351) = ( 6 x 351 ) / 702

GCD(6, 351) = 2106 / 702

GCD(6, 351) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 325

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

LCM(3, 325) = 975

GCD(3, 325) = ( 3 x 325 ) / 975

GCD(3, 325) = 975 / 975

GCD(3, 325) = 1

GCD of 516, 498, 351, 325 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 557, 564, 232
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• GCD of 995, 763, 725, 901
• GCD of 365, 663, 446, 859
• GCD of 357, 282, 476, 499

1. What is the GCD of 516, 498, 351, 325?

GCD of 516, 498, 351, 325 is 1

2. Where do I get the detailed procedure to find GCD of 516, 498, 351, 325?

You can find a detailed procedure to find GCD of 516, 498, 351, 325 on our page.

3. How to find GCD of 516, 498, 351, 325 on a calculator?

You can find the GCD of 516, 498, 351, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.