GCD of 437, 310, 96, 522 Calculator

Given Input numbers are 437, 310, 96, 522

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

Divisors of 437

List of positive integer divisors of 437 that divides 437 without a remainder.

1, 19, 23, 437

Divisors of 310

List of positive integer divisors of 310 that divides 310 without a remainder.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 96

List of positive integer divisors of 96 that divides 96 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

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

Greatest Common Divisior

We found the divisors of 437, 310, 96, 522 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 437, 310, 96, 522 is 1.

Therefore, GCD of numbers 437, 310, 96, 522 is 1

Given Input Data is 437, 310, 96, 522

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

Prime Factorization of 437 is 19 x 23

Prime Factorization of 310 is 2 x 5 x 31

Prime Factorization of 96 is 2 x 2 x 2 x 2 x 2 x 3

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

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(437, 310) = 135470

GCD(437, 310) = ( 437 x 310 ) / 135470

GCD(437, 310) = 135470 / 135470

GCD(437, 310) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 96

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

LCM(1, 96) = 96

GCD(1, 96) = ( 1 x 96 ) / 96

GCD(1, 96) = 96 / 96

GCD(1, 96) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 522

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

LCM(1, 522) = 522

GCD(1, 522) = ( 1 x 522 ) / 522

GCD(1, 522) = 522 / 522

GCD(1, 522) = 1

GCD of 437, 310, 96, 522 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 674, 100, 69, 824
• GCD of 663, 766, 35, 976
• GCD of 204, 923, 47, 875
• GCD of 117, 942, 84, 629
• GCD of 569, 971, 81, 192

1. What is the GCD of 437, 310, 96, 522?

GCD of 437, 310, 96, 522 is 1

2. Where do I get the detailed procedure to find GCD of 437, 310, 96, 522?

You can find a detailed procedure to find GCD of 437, 310, 96, 522 on our page.

3. How to find GCD of 437, 310, 96, 522 on a calculator?

You can find the GCD of 437, 310, 96, 522 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.