GCD of 745, 438, 209, 855 Calculator

Given Input numbers are 745, 438, 209, 855

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

Divisors of 745

List of positive integer divisors of 745 that divides 745 without a remainder.

1, 5, 149, 745

Divisors of 438

List of positive integer divisors of 438 that divides 438 without a remainder.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 209

List of positive integer divisors of 209 that divides 209 without a remainder.

1, 11, 19, 209

Divisors of 855

List of positive integer divisors of 855 that divides 855 without a remainder.

1, 3, 5, 9, 15, 19, 45, 57, 95, 171, 285, 855

Greatest Common Divisior

We found the divisors of 745, 438, 209, 855 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 438, 209, 855 is 1.

Therefore, GCD of numbers 745, 438, 209, 855 is 1

Given Input Data is 745, 438, 209, 855

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

Prime Factorization of 745 is 5 x 149

Prime Factorization of 438 is 2 x 3 x 73

Prime Factorization of 209 is 11 x 19

Prime Factorization of 855 is 3 x 3 x 5 x 19

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(745, 438) = 326310

GCD(745, 438) = ( 745 x 438 ) / 326310

GCD(745, 438) = 326310 / 326310

GCD(745, 438) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 209

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

LCM(1, 209) = 209

GCD(1, 209) = ( 1 x 209 ) / 209

GCD(1, 209) = 209 / 209

GCD(1, 209) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 855

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

LCM(1, 855) = 855

GCD(1, 855) = ( 1 x 855 ) / 855

GCD(1, 855) = 855 / 855

GCD(1, 855) = 1

GCD of 745, 438, 209, 855 is 1

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1. What is the GCD of 745, 438, 209, 855?

GCD of 745, 438, 209, 855 is 1

2. Where do I get the detailed procedure to find GCD of 745, 438, 209, 855?

You can find a detailed procedure to find GCD of 745, 438, 209, 855 on our page.

3. How to find GCD of 745, 438, 209, 855 on a calculator?

You can find the GCD of 745, 438, 209, 855 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.