GCD of 202, 427, 13, 565 Calculator

Given Input numbers are 202, 427, 13, 565

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 427

List of positive integer divisors of 427 that divides 427 without a remainder.

1, 7, 61, 427

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 565

List of positive integer divisors of 565 that divides 565 without a remainder.

1, 5, 113, 565

Greatest Common Divisior

We found the divisors of 202, 427, 13, 565 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 427, 13, 565 is 1.

Therefore, GCD of numbers 202, 427, 13, 565 is 1

Given Input Data is 202, 427, 13, 565

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 427 is 7 x 61

Prime Factorization of 13 is 13

Prime Factorization of 565 is 5 x 113

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, 427) = 86254

GCD(202, 427) = ( 202 x 427 ) / 86254

GCD(202, 427) = 86254 / 86254

GCD(202, 427) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 565

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

LCM(1, 565) = 565

GCD(1, 565) = ( 1 x 565 ) / 565

GCD(1, 565) = 565 / 565

GCD(1, 565) = 1

GCD of 202, 427, 13, 565 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 424, 41, 296
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• GCD of 756, 274, 46, 987

1. What is the GCD of 202, 427, 13, 565?

GCD of 202, 427, 13, 565 is 1

2. Where do I get the detailed procedure to find GCD of 202, 427, 13, 565?

You can find a detailed procedure to find GCD of 202, 427, 13, 565 on our page.

3. How to find GCD of 202, 427, 13, 565 on a calculator?

You can find the GCD of 202, 427, 13, 565 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.