GCD of 252, 798, 259, 229 Calculator

Given Input numbers are 252, 798, 259, 229

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

Divisors of 252

List of positive integer divisors of 252 that divides 252 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 798

List of positive integer divisors of 798 that divides 798 without a remainder.

1, 2, 3, 6, 7, 14, 19, 21, 38, 42, 57, 114, 133, 266, 399, 798

Divisors of 259

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

1, 7, 37, 259

Divisors of 229

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

1, 229

Greatest Common Divisior

We found the divisors of 252, 798, 259, 229 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 252, 798, 259, 229 is 1.

Therefore, GCD of numbers 252, 798, 259, 229 is 1

Given Input Data is 252, 798, 259, 229

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

Prime Factorization of 252 is 2 x 2 x 3 x 3 x 7

Prime Factorization of 798 is 2 x 3 x 7 x 19

Prime Factorization of 259 is 7 x 37

Prime Factorization of 229 is 229

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(252, 798) = 4788

GCD(252, 798) = ( 252 x 798 ) / 4788

GCD(252, 798) = 201096 / 4788

GCD(252, 798) = 42

Step2:

Here we consider the GCD from the above i.e. 42 as first number and the next as 259

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

LCM(42, 259) = 1554

GCD(42, 259) = ( 42 x 259 ) / 1554

GCD(42, 259) = 10878 / 1554

GCD(42, 259) = 7

Step3:

Here we consider the GCD from the above i.e. 7 as first number and the next as 229

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

LCM(7, 229) = 1603

GCD(7, 229) = ( 7 x 229 ) / 1603

GCD(7, 229) = 1603 / 1603

GCD(7, 229) = 1

GCD of 252, 798, 259, 229 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 715, 970, 805, 547
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• GCD of 754, 589, 225, 456
• GCD of 872, 125, 738, 513

1. What is the GCD of 252, 798, 259, 229?

GCD of 252, 798, 259, 229 is 1

2. Where do I get the detailed procedure to find GCD of 252, 798, 259, 229?

You can find a detailed procedure to find GCD of 252, 798, 259, 229 on our page.

3. How to find GCD of 252, 798, 259, 229 on a calculator?

You can find the GCD of 252, 798, 259, 229 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.