GCD of 145, 712, 109, 204 Calculator

Given Input numbers are 145, 712, 109, 204

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 712

List of positive integer divisors of 712 that divides 712 without a remainder.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 109

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

1, 109

Divisors of 204

List of positive integer divisors of 204 that divides 204 without a remainder.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Greatest Common Divisior

We found the divisors of 145, 712, 109, 204 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 712, 109, 204 is 1.

Therefore, GCD of numbers 145, 712, 109, 204 is 1

Given Input Data is 145, 712, 109, 204

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 712 is 2 x 2 x 2 x 89

Prime Factorization of 109 is 109

Prime Factorization of 204 is 2 x 2 x 3 x 17

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, 712) = 103240

GCD(145, 712) = ( 145 x 712 ) / 103240

GCD(145, 712) = 103240 / 103240

GCD(145, 712) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 109

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

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

GCD(1, 109) = 109 / 109

GCD(1, 109) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 204

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

LCM(1, 204) = 204

GCD(1, 204) = ( 1 x 204 ) / 204

GCD(1, 204) = 204 / 204

GCD(1, 204) = 1

GCD of 145, 712, 109, 204 is 1

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1. What is the GCD of 145, 712, 109, 204?

GCD of 145, 712, 109, 204 is 1

2. Where do I get the detailed procedure to find GCD of 145, 712, 109, 204?

You can find a detailed procedure to find GCD of 145, 712, 109, 204 on our page.

3. How to find GCD of 145, 712, 109, 204 on a calculator?

You can find the GCD of 145, 712, 109, 204 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.