GCD of 145, 209, 13, 274 Calculator

Given Input numbers are 145, 209, 13, 274

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 209

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

1, 11, 19, 209

Divisors of 13

List of positive integer divisors of 13 that divides 13 without a remainder.

1, 13

Divisors of 274

List of positive integer divisors of 274 that divides 274 without a remainder.

1, 2, 137, 274

Greatest Common Divisior

We found the divisors of 145, 209, 13, 274 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 145, 209, 13, 274 is 1.

Therefore, GCD of numbers 145, 209, 13, 274 is 1

Given Input Data is 145, 209, 13, 274

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

Prime Factorization of 145 is 5 x 29

Prime Factorization of 209 is 11 x 19

Prime Factorization of 13 is 13

Prime Factorization of 274 is 2 x 137

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, 209) = 30305

GCD(145, 209) = ( 145 x 209 ) / 30305

GCD(145, 209) = 30305 / 30305

GCD(145, 209) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 13

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

LCM(1, 13) = 13

GCD(1, 13) = ( 1 x 13 ) / 13

GCD(1, 13) = 13 / 13

GCD(1, 13) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 274

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

LCM(1, 274) = 274

GCD(1, 274) = ( 1 x 274 ) / 274

GCD(1, 274) = 274 / 274

GCD(1, 274) = 1

GCD of 145, 209, 13, 274 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 750, 860, 34, 962
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• GCD of 957, 895, 89, 464

1. What is the GCD of 145, 209, 13, 274?

GCD of 145, 209, 13, 274 is 1

2. Where do I get the detailed procedure to find GCD of 145, 209, 13, 274?

You can find a detailed procedure to find GCD of 145, 209, 13, 274 on our page.

3. How to find GCD of 145, 209, 13, 274 on a calculator?

You can find the GCD of 145, 209, 13, 274 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.