GCD of 228, 653, 344, 802 Calculator

Given Input numbers are 228, 653, 344, 802

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

Divisors of 228

List of positive integer divisors of 228 that divides 228 without a remainder.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 653

List of positive integer divisors of 653 that divides 653 without a remainder.

1, 653

Divisors of 344

List of positive integer divisors of 344 that divides 344 without a remainder.

1, 2, 4, 8, 43, 86, 172, 344

Divisors of 802

List of positive integer divisors of 802 that divides 802 without a remainder.

1, 2, 401, 802

Greatest Common Divisior

We found the divisors of 228, 653, 344, 802 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 228, 653, 344, 802 is 1.

Therefore, GCD of numbers 228, 653, 344, 802 is 1

Given Input Data is 228, 653, 344, 802

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

Prime Factorization of 228 is 2 x 2 x 3 x 19

Prime Factorization of 653 is 653

Prime Factorization of 344 is 2 x 2 x 2 x 43

Prime Factorization of 802 is 2 x 401

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(228, 653) = 148884

GCD(228, 653) = ( 228 x 653 ) / 148884

GCD(228, 653) = 148884 / 148884

GCD(228, 653) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 344

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

LCM(1, 344) = 344

GCD(1, 344) = ( 1 x 344 ) / 344

GCD(1, 344) = 344 / 344

GCD(1, 344) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 802

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

LCM(1, 802) = 802

GCD(1, 802) = ( 1 x 802 ) / 802

GCD(1, 802) = 802 / 802

GCD(1, 802) = 1

GCD of 228, 653, 344, 802 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 319, 226, 808, 110
• GCD of 254, 404, 952, 265
• GCD of 821, 827, 125, 558
• GCD of 632, 836, 388, 916
• GCD of 227, 553, 885, 962

1. What is the GCD of 228, 653, 344, 802?

GCD of 228, 653, 344, 802 is 1

2. Where do I get the detailed procedure to find GCD of 228, 653, 344, 802?

You can find a detailed procedure to find GCD of 228, 653, 344, 802 on our page.

3. How to find GCD of 228, 653, 344, 802 on a calculator?

You can find the GCD of 228, 653, 344, 802 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.