GCD of 499, 365, 360, 355 Calculator

Given Input numbers are 499, 365, 360, 355

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

Divisors of 499

List of positive integer divisors of 499 that divides 499 without a remainder.

1, 499

Divisors of 365

List of positive integer divisors of 365 that divides 365 without a remainder.

1, 5, 73, 365

Divisors of 360

List of positive integer divisors of 360 that divides 360 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 355

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

1, 5, 71, 355

Greatest Common Divisior

We found the divisors of 499, 365, 360, 355 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 365, 360, 355 is 1.

Therefore, GCD of numbers 499, 365, 360, 355 is 1

Given Input Data is 499, 365, 360, 355

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

Prime Factorization of 499 is 499

Prime Factorization of 365 is 5 x 73

Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5

Prime Factorization of 355 is 5 x 71

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(499, 365) = 182135

GCD(499, 365) = ( 499 x 365 ) / 182135

GCD(499, 365) = 182135 / 182135

GCD(499, 365) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 360

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

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

GCD(1, 360) = 360 / 360

GCD(1, 360) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 355

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

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

GCD(1, 355) = 355 / 355

GCD(1, 355) = 1

GCD of 499, 365, 360, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 516, 630, 811, 696
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• GCD of 838, 983, 204, 960

1. What is the GCD of 499, 365, 360, 355?

GCD of 499, 365, 360, 355 is 1

2. Where do I get the detailed procedure to find GCD of 499, 365, 360, 355?

You can find a detailed procedure to find GCD of 499, 365, 360, 355 on our page.

3. How to find GCD of 499, 365, 360, 355 on a calculator?

You can find the GCD of 499, 365, 360, 355 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.