GCD of 202, 469, 48, 259 Calculator

Given Input numbers are 202, 469, 48, 259

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 469

List of positive integer divisors of 469 that divides 469 without a remainder.

1, 7, 67, 469

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 259

List of positive integer divisors of 259 that divides 259 without a remainder.

1, 7, 37, 259

Greatest Common Divisior

We found the divisors of 202, 469, 48, 259 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 202, 469, 48, 259 is 1.

Therefore, GCD of numbers 202, 469, 48, 259 is 1

Given Input Data is 202, 469, 48, 259

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

Prime Factorization of 202 is 2 x 101

Prime Factorization of 469 is 7 x 67

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 259 is 7 x 37

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, 469) = 94738

GCD(202, 469) = ( 202 x 469 ) / 94738

GCD(202, 469) = 94738 / 94738

GCD(202, 469) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 48

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

LCM(1, 48) = 48

GCD(1, 48) = ( 1 x 48 ) / 48

GCD(1, 48) = 48 / 48

GCD(1, 48) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 259

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

LCM(1, 259) = 259

GCD(1, 259) = ( 1 x 259 ) / 259

GCD(1, 259) = 259 / 259

GCD(1, 259) = 1

GCD of 202, 469, 48, 259 is 1

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1. What is the GCD of 202, 469, 48, 259?

GCD of 202, 469, 48, 259 is 1

2. Where do I get the detailed procedure to find GCD of 202, 469, 48, 259?

You can find a detailed procedure to find GCD of 202, 469, 48, 259 on our page.

3. How to find GCD of 202, 469, 48, 259 on a calculator?

You can find the GCD of 202, 469, 48, 259 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.