GCD of 283, 117, 825, 193 Calculator

Given Input numbers are 283, 117, 825, 193

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

Divisors of 283

List of positive integer divisors of 283 that divides 283 without a remainder.

1, 283

Divisors of 117

List of positive integer divisors of 117 that divides 117 without a remainder.

1, 3, 9, 13, 39, 117

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 193

List of positive integer divisors of 193 that divides 193 without a remainder.

1, 193

Greatest Common Divisior

We found the divisors of 283, 117, 825, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 283, 117, 825, 193 is 1.

Therefore, GCD of numbers 283, 117, 825, 193 is 1

Given Input Data is 283, 117, 825, 193

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

Prime Factorization of 283 is 283

Prime Factorization of 117 is 3 x 3 x 13

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 193 is 193

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(283, 117) = 33111

GCD(283, 117) = ( 283 x 117 ) / 33111

GCD(283, 117) = 33111 / 33111

GCD(283, 117) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 825

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

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

GCD(1, 825) = 825 / 825

GCD(1, 825) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 193

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

LCM(1, 193) = 193

GCD(1, 193) = ( 1 x 193 ) / 193

GCD(1, 193) = 193 / 193

GCD(1, 193) = 1

GCD of 283, 117, 825, 193 is 1

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1. What is the GCD of 283, 117, 825, 193?

GCD of 283, 117, 825, 193 is 1

2. Where do I get the detailed procedure to find GCD of 283, 117, 825, 193?

You can find a detailed procedure to find GCD of 283, 117, 825, 193 on our page.

3. How to find GCD of 283, 117, 825, 193 on a calculator?

You can find the GCD of 283, 117, 825, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.