GCD of 705, 993, 206, 181 Calculator

Given Input numbers are 705, 993, 206, 181

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 993

List of positive integer divisors of 993 that divides 993 without a remainder.

1, 3, 331, 993

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 181

List of positive integer divisors of 181 that divides 181 without a remainder.

1, 181

Greatest Common Divisior

We found the divisors of 705, 993, 206, 181 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 993, 206, 181 is 1.

Therefore, GCD of numbers 705, 993, 206, 181 is 1

Given Input Data is 705, 993, 206, 181

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 993 is 3 x 331

Prime Factorization of 206 is 2 x 103

Prime Factorization of 181 is 181

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, 993) = 233355

GCD(705, 993) = ( 705 x 993 ) / 233355

GCD(705, 993) = 700065 / 233355

GCD(705, 993) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 206

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

LCM(3, 206) = 618

GCD(3, 206) = ( 3 x 206 ) / 618

GCD(3, 206) = 618 / 618

GCD(3, 206) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 181

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

LCM(1, 181) = 181

GCD(1, 181) = ( 1 x 181 ) / 181

GCD(1, 181) = 181 / 181

GCD(1, 181) = 1

GCD of 705, 993, 206, 181 is 1

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1. What is the GCD of 705, 993, 206, 181?

GCD of 705, 993, 206, 181 is 1

2. Where do I get the detailed procedure to find GCD of 705, 993, 206, 181?

You can find a detailed procedure to find GCD of 705, 993, 206, 181 on our page.

3. How to find GCD of 705, 993, 206, 181 on a calculator?

You can find the GCD of 705, 993, 206, 181 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.