GCD of 145, 785, 273, 638 Calculator

Given Input numbers are 145, 785, 273, 638

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

Divisors of 145

List of positive integer divisors of 145 that divides 145 without a remainder.

1, 5, 29, 145

Divisors of 785

List of positive integer divisors of 785 that divides 785 without a remainder.

1, 5, 157, 785

Divisors of 273

List of positive integer divisors of 273 that divides 273 without a remainder.

1, 3, 7, 13, 21, 39, 91, 273

Divisors of 638

List of positive integer divisors of 638 that divides 638 without a remainder.

1, 2, 11, 22, 29, 58, 319, 638

Greatest Common Divisior

We found the divisors of 145, 785, 273, 638 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 785, 273, 638 is 1.

Therefore, GCD of numbers 145, 785, 273, 638 is 1

Given Input Data is 145, 785, 273, 638

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 785 is 5 x 157

Prime Factorization of 273 is 3 x 7 x 13

Prime Factorization of 638 is 2 x 11 x 29

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(145, 785) = 22765

GCD(145, 785) = ( 145 x 785 ) / 22765

GCD(145, 785) = 113825 / 22765

GCD(145, 785) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 273

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

LCM(5, 273) = 1365

GCD(5, 273) = ( 5 x 273 ) / 1365

GCD(5, 273) = 1365 / 1365

GCD(5, 273) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 638

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

LCM(1, 638) = 638

GCD(1, 638) = ( 1 x 638 ) / 638

GCD(1, 638) = 638 / 638

GCD(1, 638) = 1

GCD of 145, 785, 273, 638 is 1

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1. What is the GCD of 145, 785, 273, 638?

GCD of 145, 785, 273, 638 is 1

2. Where do I get the detailed procedure to find GCD of 145, 785, 273, 638?

You can find a detailed procedure to find GCD of 145, 785, 273, 638 on our page.

3. How to find GCD of 145, 785, 273, 638 on a calculator?

You can find the GCD of 145, 785, 273, 638 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.