GCD of 705, 228, 66, 193 Calculator

Given Input numbers are 705, 228, 66, 193

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

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

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 66

List of positive integer divisors of 66 that divides 66 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66

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 705, 228, 66, 193 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 228, 66, 193 is 1.

Therefore, GCD of numbers 705, 228, 66, 193 is 1

Given Input Data is 705, 228, 66, 193

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

Prime Factorization of 705 is 3 x 5 x 47

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

Prime Factorization of 66 is 2 x 3 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(705, 228) = 53580

GCD(705, 228) = ( 705 x 228 ) / 53580

GCD(705, 228) = 160740 / 53580

GCD(705, 228) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 66

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

LCM(3, 66) = 66

GCD(3, 66) = ( 3 x 66 ) / 66

GCD(3, 66) = 198 / 66

GCD(3, 66) = 3

Step3:

Here we consider the GCD from the above i.e. 3 as first number and the next as 193

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

LCM(3, 193) = 579

GCD(3, 193) = ( 3 x 193 ) / 579

GCD(3, 193) = 579 / 579

GCD(3, 193) = 1

GCD of 705, 228, 66, 193 is 1

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• GCD of 296, 542, 81, 408
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1. What is the GCD of 705, 228, 66, 193?

GCD of 705, 228, 66, 193 is 1

2. Where do I get the detailed procedure to find GCD of 705, 228, 66, 193?

You can find a detailed procedure to find GCD of 705, 228, 66, 193 on our page.

3. How to find GCD of 705, 228, 66, 193 on a calculator?

You can find the GCD of 705, 228, 66, 193 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.