GCD of 493, 514, 66, 797 Calculator

Given Input numbers are 493, 514, 66, 797

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

Divisors of 493

List of positive integer divisors of 493 that divides 493 without a remainder.

1, 17, 29, 493

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 797

List of positive integer divisors of 797 that divides 797 without a remainder.

1, 797

Greatest Common Divisior

We found the divisors of 493, 514, 66, 797 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 493, 514, 66, 797 is 1.

Therefore, GCD of numbers 493, 514, 66, 797 is 1

Given Input Data is 493, 514, 66, 797

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

Prime Factorization of 493 is 17 x 29

Prime Factorization of 514 is 2 x 257

Prime Factorization of 66 is 2 x 3 x 11

Prime Factorization of 797 is 797

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(493, 514) = 253402

GCD(493, 514) = ( 493 x 514 ) / 253402

GCD(493, 514) = 253402 / 253402

GCD(493, 514) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 66

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

LCM(1, 66) = 66

GCD(1, 66) = ( 1 x 66 ) / 66

GCD(1, 66) = 66 / 66

GCD(1, 66) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 797

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

LCM(1, 797) = 797

GCD(1, 797) = ( 1 x 797 ) / 797

GCD(1, 797) = 797 / 797

GCD(1, 797) = 1

GCD of 493, 514, 66, 797 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 232, 343, 26, 343
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• GCD of 278, 139, 71, 941
• GCD of 893, 136, 67, 687
• GCD of 944, 517, 89, 365

1. What is the GCD of 493, 514, 66, 797?

GCD of 493, 514, 66, 797 is 1

2. Where do I get the detailed procedure to find GCD of 493, 514, 66, 797?

You can find a detailed procedure to find GCD of 493, 514, 66, 797 on our page.

3. How to find GCD of 493, 514, 66, 797 on a calculator?

You can find the GCD of 493, 514, 66, 797 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.