GCD of 497, 659, 52, 299 Calculator

Given Input numbers are 497, 659, 52, 299

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 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 299

List of positive integer divisors of 299 that divides 299 without a remainder.

1, 13, 23, 299

Greatest Common Divisior

We found the divisors of 497, 659, 52, 299 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 659, 52, 299 is 1.

Therefore, GCD of numbers 497, 659, 52, 299 is 1

Given Input Data is 497, 659, 52, 299

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

Prime Factorization of 497 is 7 x 71

Prime Factorization of 659 is 659

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 299 is 13 x 23

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, 659) = 327523

GCD(497, 659) = ( 497 x 659 ) / 327523

GCD(497, 659) = 327523 / 327523

GCD(497, 659) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 52

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

LCM(1, 52) = 52

GCD(1, 52) = ( 1 x 52 ) / 52

GCD(1, 52) = 52 / 52

GCD(1, 52) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 299

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

LCM(1, 299) = 299

GCD(1, 299) = ( 1 x 299 ) / 299

GCD(1, 299) = 299 / 299

GCD(1, 299) = 1

GCD of 497, 659, 52, 299 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 912, 185, 24, 542
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• GCD of 541, 942, 63, 650
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• GCD of 228, 801, 44, 375

1. What is the GCD of 497, 659, 52, 299?

GCD of 497, 659, 52, 299 is 1

2. Where do I get the detailed procedure to find GCD of 497, 659, 52, 299?

You can find a detailed procedure to find GCD of 497, 659, 52, 299 on our page.

3. How to find GCD of 497, 659, 52, 299 on a calculator?

You can find the GCD of 497, 659, 52, 299 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.