GCD of 117, 337, 524, 459 Calculator

Given Input numbers are 117, 337, 524, 459

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

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 337

List of positive integer divisors of 337 that divides 337 without a remainder.

1, 337

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Divisors of 459

List of positive integer divisors of 459 that divides 459 without a remainder.

1, 3, 9, 17, 27, 51, 153, 459

Greatest Common Divisior

We found the divisors of 117, 337, 524, 459 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 117, 337, 524, 459 is 1.

Therefore, GCD of numbers 117, 337, 524, 459 is 1

Given Input Data is 117, 337, 524, 459

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

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 337 is 337

Prime Factorization of 524 is 2 x 2 x 131

Prime Factorization of 459 is 3 x 3 x 3 x 17

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(117, 337) = 39429

GCD(117, 337) = ( 117 x 337 ) / 39429

GCD(117, 337) = 39429 / 39429

GCD(117, 337) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 459

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

LCM(1, 459) = 459

GCD(1, 459) = ( 1 x 459 ) / 459

GCD(1, 459) = 459 / 459

GCD(1, 459) = 1

GCD of 117, 337, 524, 459 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 148, 514, 204
• GCD of 541, 507, 398, 772
• GCD of 483, 991, 427, 494
• GCD of 118, 835, 688, 524
• GCD of 396, 721, 913, 211

1. What is the GCD of 117, 337, 524, 459?

GCD of 117, 337, 524, 459 is 1

2. Where do I get the detailed procedure to find GCD of 117, 337, 524, 459?

You can find a detailed procedure to find GCD of 117, 337, 524, 459 on our page.

3. How to find GCD of 117, 337, 524, 459 on a calculator?

You can find the GCD of 117, 337, 524, 459 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.