GCD of 497, 914, 36, 499 Calculator

Given Input numbers are 497, 914, 36, 499

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

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 914

List of positive integer divisors of 914 that divides 914 without a remainder.

1, 2, 457, 914

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 499

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

1, 499

Greatest Common Divisior

We found the divisors of 497, 914, 36, 499 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 914, 36, 499 is 1.

Therefore, GCD of numbers 497, 914, 36, 499 is 1

Given Input Data is 497, 914, 36, 499

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 914 is 2 x 457

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 499 is 499

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(497, 914) = 454258

GCD(497, 914) = ( 497 x 914 ) / 454258

GCD(497, 914) = 454258 / 454258

GCD(497, 914) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

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

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 499

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

LCM(1, 499) = 499

GCD(1, 499) = ( 1 x 499 ) / 499

GCD(1, 499) = 499 / 499

GCD(1, 499) = 1

GCD of 497, 914, 36, 499 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 771, 617, 19, 100
• GCD of 317, 742, 64, 138
• GCD of 450, 199, 71, 416
• GCD of 968, 586, 82, 644
• GCD of 148, 748, 22, 275

1. What is the GCD of 497, 914, 36, 499?

GCD of 497, 914, 36, 499 is 1

2. Where do I get the detailed procedure to find GCD of 497, 914, 36, 499?

You can find a detailed procedure to find GCD of 497, 914, 36, 499 on our page.

3. How to find GCD of 497, 914, 36, 499 on a calculator?

You can find the GCD of 497, 914, 36, 499 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.