GCD of 499, 495, 69, 364 Calculator

Given Input numbers are 499, 495, 69, 364

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 495

List of positive integer divisors of 495 that divides 495 without a remainder.

1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495

Divisors of 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 364

List of positive integer divisors of 364 that divides 364 without a remainder.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Greatest Common Divisior

We found the divisors of 499, 495, 69, 364 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 499, 495, 69, 364 is 1.

Therefore, GCD of numbers 499, 495, 69, 364 is 1

Given Input Data is 499, 495, 69, 364

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

Prime Factorization of 499 is 499

Prime Factorization of 495 is 3 x 3 x 5 x 11

Prime Factorization of 69 is 3 x 23

Prime Factorization of 364 is 2 x 2 x 7 x 13

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, 495) = 247005

GCD(499, 495) = ( 499 x 495 ) / 247005

GCD(499, 495) = 247005 / 247005

GCD(499, 495) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 69

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

LCM(1, 69) = 69

GCD(1, 69) = ( 1 x 69 ) / 69

GCD(1, 69) = 69 / 69

GCD(1, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 364

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

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

GCD(1, 364) = 364 / 364

GCD(1, 364) = 1

GCD of 499, 495, 69, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 861, 62, 563
• GCD of 990, 450, 55, 679
• GCD of 961, 319, 32, 621
• GCD of 208, 542, 63, 577
• GCD of 551, 188, 57, 950

1. What is the GCD of 499, 495, 69, 364?

GCD of 499, 495, 69, 364 is 1

2. Where do I get the detailed procedure to find GCD of 499, 495, 69, 364?

You can find a detailed procedure to find GCD of 499, 495, 69, 364 on our page.

3. How to find GCD of 499, 495, 69, 364 on a calculator?

You can find the GCD of 499, 495, 69, 364 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.