GCD of 355, 905, 129, 498 Calculator

Given Input numbers are 355, 905, 129, 498

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

Divisors of 355

List of positive integer divisors of 355 that divides 355 without a remainder.

1, 5, 71, 355

Divisors of 905

List of positive integer divisors of 905 that divides 905 without a remainder.

1, 5, 181, 905

Divisors of 129

List of positive integer divisors of 129 that divides 129 without a remainder.

1, 3, 43, 129

Divisors of 498

List of positive integer divisors of 498 that divides 498 without a remainder.

1, 2, 3, 6, 83, 166, 249, 498

Greatest Common Divisior

We found the divisors of 355, 905, 129, 498 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 355, 905, 129, 498 is 1.

Therefore, GCD of numbers 355, 905, 129, 498 is 1

Given Input Data is 355, 905, 129, 498

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

Prime Factorization of 355 is 5 x 71

Prime Factorization of 905 is 5 x 181

Prime Factorization of 129 is 3 x 43

Prime Factorization of 498 is 2 x 3 x 83

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(355, 905) = 64255

GCD(355, 905) = ( 355 x 905 ) / 64255

GCD(355, 905) = 321275 / 64255

GCD(355, 905) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 129

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

LCM(5, 129) = 645

GCD(5, 129) = ( 5 x 129 ) / 645

GCD(5, 129) = 645 / 645

GCD(5, 129) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 498

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

LCM(1, 498) = 498

GCD(1, 498) = ( 1 x 498 ) / 498

GCD(1, 498) = 498 / 498

GCD(1, 498) = 1

GCD of 355, 905, 129, 498 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 701, 635, 599, 223
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• GCD of 699, 921, 670, 232
• GCD of 355, 221, 397, 587
• GCD of 564, 461, 390, 886

1. What is the GCD of 355, 905, 129, 498?

GCD of 355, 905, 129, 498 is 1

2. Where do I get the detailed procedure to find GCD of 355, 905, 129, 498?

You can find a detailed procedure to find GCD of 355, 905, 129, 498 on our page.

3. How to find GCD of 355, 905, 129, 498 on a calculator?

You can find the GCD of 355, 905, 129, 498 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.