GCD of 204, 248, 153, 793 Calculator

Given Input numbers are 204, 248, 153, 793

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

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 248

List of positive integer divisors of 248 that divides 248 without a remainder.

1, 2, 4, 8, 31, 62, 124, 248

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Greatest Common Divisior

We found the divisors of 204, 248, 153, 793 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 204, 248, 153, 793 is 1.

Therefore, GCD of numbers 204, 248, 153, 793 is 1

Given Input Data is 204, 248, 153, 793

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

Prime Factorization of 204 is 2 x 2 x 3 x 17

Prime Factorization of 248 is 2 x 2 x 2 x 31

Prime Factorization of 153 is 3 x 3 x 17

Prime Factorization of 793 is 13 x 61

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(204, 248) = 12648

GCD(204, 248) = ( 204 x 248 ) / 12648

GCD(204, 248) = 50592 / 12648

GCD(204, 248) = 4

Step2:

Here we consider the GCD from the above i.e. 4 as first number and the next as 153

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

LCM(4, 153) = 612

GCD(4, 153) = ( 4 x 153 ) / 612

GCD(4, 153) = 612 / 612

GCD(4, 153) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 793

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

LCM(1, 793) = 793

GCD(1, 793) = ( 1 x 793 ) / 793

GCD(1, 793) = 793 / 793

GCD(1, 793) = 1

GCD of 204, 248, 153, 793 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 178, 974, 586, 765
• GCD of 328, 348, 643, 781
• GCD of 323, 792, 450, 104
• GCD of 552, 819, 424, 778
• GCD of 125, 751, 969, 612

1. What is the GCD of 204, 248, 153, 793?

GCD of 204, 248, 153, 793 is 1

2. Where do I get the detailed procedure to find GCD of 204, 248, 153, 793?

You can find a detailed procedure to find GCD of 204, 248, 153, 793 on our page.

3. How to find GCD of 204, 248, 153, 793 on a calculator?

You can find the GCD of 204, 248, 153, 793 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.