GCD of 84, 165, 110, 523 Calculator

Given Input numbers are 84, 165, 110, 523

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

Divisors of 84

List of positive integer divisors of 84 that divides 84 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 110

List of positive integer divisors of 110 that divides 110 without a remainder.

1, 2, 5, 10, 11, 22, 55, 110

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Greatest Common Divisior

We found the divisors of 84, 165, 110, 523 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 84, 165, 110, 523 is 1.

Therefore, GCD of numbers 84, 165, 110, 523 is 1

Given Input Data is 84, 165, 110, 523

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

Prime Factorization of 84 is 2 x 2 x 3 x 7

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 110 is 2 x 5 x 11

Prime Factorization of 523 is 523

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(84, 165) = 4620

GCD(84, 165) = ( 84 x 165 ) / 4620

GCD(84, 165) = 13860 / 4620

GCD(84, 165) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 110

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

LCM(3, 110) = 330

GCD(3, 110) = ( 3 x 110 ) / 330

GCD(3, 110) = 330 / 330

GCD(3, 110) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 523

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

LCM(1, 523) = 523

GCD(1, 523) = ( 1 x 523 ) / 523

GCD(1, 523) = 523 / 523

GCD(1, 523) = 1

GCD of 84, 165, 110, 523 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 16, 514, 259, 782
• GCD of 61, 125, 153, 472
• GCD of 44, 128, 994, 324
• GCD of 14, 801, 871, 885
• GCD of 72, 724, 999, 660

1. What is the GCD of 84, 165, 110, 523?

GCD of 84, 165, 110, 523 is 1

2. Where do I get the detailed procedure to find GCD of 84, 165, 110, 523?

You can find a detailed procedure to find GCD of 84, 165, 110, 523 on our page.

3. How to find GCD of 84, 165, 110, 523 on a calculator?

You can find the GCD of 84, 165, 110, 523 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.