GCD of 109, 145, 473, 290 Calculator

Given Input numbers are 109, 145, 473, 290

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

Divisors of 109

List of positive integer divisors of 109 that divides 109 without a remainder.

1, 109

Divisors of 145

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

1, 5, 29, 145

Divisors of 473

List of positive integer divisors of 473 that divides 473 without a remainder.

1, 11, 43, 473

Divisors of 290

List of positive integer divisors of 290 that divides 290 without a remainder.

1, 2, 5, 10, 29, 58, 145, 290

Greatest Common Divisior

We found the divisors of 109, 145, 473, 290 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 109, 145, 473, 290 is 1.

Therefore, GCD of numbers 109, 145, 473, 290 is 1

Given Input Data is 109, 145, 473, 290

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

Prime Factorization of 109 is 109

Prime Factorization of 145 is 5 x 29

Prime Factorization of 473 is 11 x 43

Prime Factorization of 290 is 2 x 5 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(109, 145) = 15805

GCD(109, 145) = ( 109 x 145 ) / 15805

GCD(109, 145) = 15805 / 15805

GCD(109, 145) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 473

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

LCM(1, 473) = 473

GCD(1, 473) = ( 1 x 473 ) / 473

GCD(1, 473) = 473 / 473

GCD(1, 473) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 290

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

LCM(1, 290) = 290

GCD(1, 290) = ( 1 x 290 ) / 290

GCD(1, 290) = 290 / 290

GCD(1, 290) = 1

GCD of 109, 145, 473, 290 is 1

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1. What is the GCD of 109, 145, 473, 290?

GCD of 109, 145, 473, 290 is 1

2. Where do I get the detailed procedure to find GCD of 109, 145, 473, 290?

You can find a detailed procedure to find GCD of 109, 145, 473, 290 on our page.

3. How to find GCD of 109, 145, 473, 290 on a calculator?

You can find the GCD of 109, 145, 473, 290 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.