GCD of 497, 802, 301, 827 Calculator

Given Input numbers are 497, 802, 301, 827

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 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Divisors of 301

List of positive integer divisors of 301 that divides 301 without a remainder.

1, 7, 43, 301

Divisors of 827

List of positive integer divisors of 827 that divides 827 without a remainder.

1, 827

Greatest Common Divisior

We found the divisors of 497, 802, 301, 827 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 802, 301, 827 is 1.

Therefore, GCD of numbers 497, 802, 301, 827 is 1

Given Input Data is 497, 802, 301, 827

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 802 is 2 x 401

Prime Factorization of 301 is 7 x 43

Prime Factorization of 827 is 827

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, 802) = 398594

GCD(497, 802) = ( 497 x 802 ) / 398594

GCD(497, 802) = 398594 / 398594

GCD(497, 802) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 301

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

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

GCD(1, 301) = 301 / 301

GCD(1, 301) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 827

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

LCM(1, 827) = 827

GCD(1, 827) = ( 1 x 827 ) / 827

GCD(1, 827) = 827 / 827

GCD(1, 827) = 1

GCD of 497, 802, 301, 827 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 405, 441, 362, 212
• GCD of 555, 612, 406, 323
• GCD of 118, 418, 372, 450
• GCD of 934, 676, 364, 363
• GCD of 467, 462, 819, 865

1. What is the GCD of 497, 802, 301, 827?

GCD of 497, 802, 301, 827 is 1

2. Where do I get the detailed procedure to find GCD of 497, 802, 301, 827?

You can find a detailed procedure to find GCD of 497, 802, 301, 827 on our page.

3. How to find GCD of 497, 802, 301, 827 on a calculator?

You can find the GCD of 497, 802, 301, 827 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.