GCD of 705, 609, 22, 443 Calculator

Given Input numbers are 705, 609, 22, 443

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 609

List of positive integer divisors of 609 that divides 609 without a remainder.

1, 3, 7, 21, 29, 87, 203, 609

Divisors of 22

List of positive integer divisors of 22 that divides 22 without a remainder.

1, 2, 11, 22

Divisors of 443

List of positive integer divisors of 443 that divides 443 without a remainder.

1, 443

Greatest Common Divisior

We found the divisors of 705, 609, 22, 443 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 609, 22, 443 is 1.

Therefore, GCD of numbers 705, 609, 22, 443 is 1

Given Input Data is 705, 609, 22, 443

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 609 is 3 x 7 x 29

Prime Factorization of 22 is 2 x 11

Prime Factorization of 443 is 443

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, 609) = 143115

GCD(705, 609) = ( 705 x 609 ) / 143115

GCD(705, 609) = 429345 / 143115

GCD(705, 609) = 3

Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 22

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

LCM(3, 22) = 66

GCD(3, 22) = ( 3 x 22 ) / 66

GCD(3, 22) = 66 / 66

GCD(3, 22) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 443

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

LCM(1, 443) = 443

GCD(1, 443) = ( 1 x 443 ) / 443

GCD(1, 443) = 443 / 443

GCD(1, 443) = 1

GCD of 705, 609, 22, 443 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 649, 890, 41, 384
• GCD of 721, 151, 47, 632
• GCD of 525, 939, 34, 161
• GCD of 171, 258, 37, 536
• GCD of 685, 455, 58, 842

1. What is the GCD of 705, 609, 22, 443?

GCD of 705, 609, 22, 443 is 1

2. Where do I get the detailed procedure to find GCD of 705, 609, 22, 443?

You can find a detailed procedure to find GCD of 705, 609, 22, 443 on our page.

3. How to find GCD of 705, 609, 22, 443 on a calculator?

You can find the GCD of 705, 609, 22, 443 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.