GCD of 522, 549, 78, 325 Calculator

Given Input numbers are 522, 549, 78, 325

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

Divisors of 522

List of positive integer divisors of 522 that divides 522 without a remainder.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 549

List of positive integer divisors of 549 that divides 549 without a remainder.

1, 3, 9, 61, 183, 549

Divisors of 78

List of positive integer divisors of 78 that divides 78 without a remainder.

1, 2, 3, 6, 13, 26, 39, 78

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 522, 549, 78, 325 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 522, 549, 78, 325 is 1.

Therefore, GCD of numbers 522, 549, 78, 325 is 1

Given Input Data is 522, 549, 78, 325

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

Prime Factorization of 522 is 2 x 3 x 3 x 29

Prime Factorization of 549 is 3 x 3 x 61

Prime Factorization of 78 is 2 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(522, 549) = 31842

GCD(522, 549) = ( 522 x 549 ) / 31842

GCD(522, 549) = 286578 / 31842

GCD(522, 549) = 9

Step2:

Here we consider the GCD from the above i.e. 9 as first number and the next as 78

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

LCM(9, 78) = 234

GCD(9, 78) = ( 9 x 78 ) / 234

GCD(9, 78) = 702 / 234

GCD(9, 78) = 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 522, 549, 78, 325 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 677, 624, 18, 451
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• GCD of 899, 920, 15, 704
• GCD of 665, 971, 73, 833
• GCD of 831, 321, 28, 153

1. What is the GCD of 522, 549, 78, 325?

GCD of 522, 549, 78, 325 is 1

2. Where do I get the detailed procedure to find GCD of 522, 549, 78, 325?

You can find a detailed procedure to find GCD of 522, 549, 78, 325 on our page.

3. How to find GCD of 522, 549, 78, 325 on a calculator?

You can find the GCD of 522, 549, 78, 325 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.