GCD of 202, 229, 316, 524 Calculator

Given Input numbers are 202, 229, 316, 524

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

Divisors of 202

List of positive integer divisors of 202 that divides 202 without a remainder.

1, 2, 101, 202

Divisors of 229

List of positive integer divisors of 229 that divides 229 without a remainder.

1, 229

Divisors of 316

List of positive integer divisors of 316 that divides 316 without a remainder.

1, 2, 4, 79, 158, 316

Divisors of 524

List of positive integer divisors of 524 that divides 524 without a remainder.

1, 2, 4, 131, 262, 524

Greatest Common Divisior

We found the divisors of 202, 229, 316, 524 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 229, 316, 524 is 1.

Therefore, GCD of numbers 202, 229, 316, 524 is 1

Given Input Data is 202, 229, 316, 524

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 229 is 229

Prime Factorization of 316 is 2 x 2 x 79

Prime Factorization of 524 is 2 x 2 x 131

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(202, 229) = 46258

GCD(202, 229) = ( 202 x 229 ) / 46258

GCD(202, 229) = 46258 / 46258

GCD(202, 229) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 316

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

LCM(1, 316) = 316

GCD(1, 316) = ( 1 x 316 ) / 316

GCD(1, 316) = 316 / 316

GCD(1, 316) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 524

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

LCM(1, 524) = 524

GCD(1, 524) = ( 1 x 524 ) / 524

GCD(1, 524) = 524 / 524

GCD(1, 524) = 1

GCD of 202, 229, 316, 524 is 1

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1. What is the GCD of 202, 229, 316, 524?

GCD of 202, 229, 316, 524 is 1

2. Where do I get the detailed procedure to find GCD of 202, 229, 316, 524?

You can find a detailed procedure to find GCD of 202, 229, 316, 524 on our page.

3. How to find GCD of 202, 229, 316, 524 on a calculator?

You can find the GCD of 202, 229, 316, 524 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.